MANARAT INTERNATIONAL
UNIVERSITY
Department of Business Administration
BBA Program
Business Research Methodology
Assignment for home work
Chapter six
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1.
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a)
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Distinguish
between primary data and secondary data? Point out the main sources of
primary data and secondary data?
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b)
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What
is personal interview? Discuss the advantages and disadvantages of personal
interview?
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c)
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What
is Telephone interview? Discuss the advantages and disadvantages of
interview.
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d)
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What
is Questionnaire? Discuss the advantages and disadvantages of Questionnaire.
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e)
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Discuss
briefly the main aspect of a Questionnaire?
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f)
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What
is the basic difference between questionnaire and Schedule?
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g)
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Discuss
briefly the guidelines for constructing Questionnaire/ Schedule.
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h)
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Discuss
briefly the guidelines for Successful interviewing.
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Chapter seven
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1.
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a)
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What
do you mean by correlation analysis? What are the characteristics of
correlation analysis?
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b)
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What
do you mean by Regression Analysis?
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c)
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What
are the basic difference between simple regression and multiple regressions?
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d)
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Haverty's Furniture is a family business
that has been selling to retail customers in the Chicago area for many years.
The owner would like to review the relationship between sales and the amount
spent on advertising. Below is information on sales and advertising expenses
for the last four months.
a)
Determine the
coefficient of correlation and interpret the result.
b)
Determine the
coefficient of determination. Interpret.
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e)
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A department store gives in-service training
to its salesmen which are followed by a test. It is considering whether it
should terminate the services of any salesman who does not do well in the
test. The following data gives the test scores and sales made by the salesmen
during a certain period.
a)
Determine the
coefficient of correlation and make a comment.
b)
Determine the
coefficient of determination and interpret the result.
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f)
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a)
Compute the
coefficient correlation and interpret the result.
b)
Determine the
coefficient of determination and interpret the result.
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g)
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A
departmental store has the following statistics of sales(x) for a period of
last one year of 10 salesmen, who have varying year of experience(y).
(i)
Find the regression line of y on x.
(ii)
Interpret the estimated slope of the regression line.
(ii)
Predict the annual sales volume of persons who have 12 and 15 years of sales
experience.
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h)
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The following
table shows the data on incomes and food expenditure on the seven households
of California. Use income as an independent variable and food expenditure as
a dependent variable.
(i)
Fit the regression line of food expenditure on income.
(ii)
Interpret the estimated slope and the intercept of the regression line.
(iii)
Find the coefficient of determination and interpret the result.
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i)
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The
Bradford Electric Illuminating Company is studying the relationship between
kilowatt-hours (thousands) and number of rooms in a private single-family
residence. A random sample of 10 homes yielded the following.
(i)
Determine the regression equations
(ii)
Determine the number of kilowatt-hours, in
thousands, for a six-room house.
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j)
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Mr.
James McWhinney, president of Daniel-James Financial Services, believes there
is a relationship between the number of client contacts and the dollar amount
of sales. To document this assertion, Mr. McWhinney gathered the following
sample information. The X column indicates the number of client contacts last
month, and the Y column shows the value of sales ($ thousands) last month for
each client sampled.
(i)
Determine the regression equation
(ii)
Determine the estimated sales if 40 contacts made.
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k)
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A
study involving multiple regression showed that a person’s income ( y)
expressed in thousands of dollars can be determined based on the person’s
years of education( X1) and the person’s sales experience in years(X2) . For
a sample of 30 people, the following equation was calculated.
Y=25.4+3.65
X1 + 1.83 X2
a)
Interpret the constants
b)
Estimate a person’s income if he has 4 years of
education and 2 years of sales experience.
c)
Estimate a person’s income if he is illiterate and
does not have any sales experience.
d)
What would be the person’s income if he has 10
years of education regardless of his sales experience?
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l)
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A
course teacher of Business Research Methodology wished to determine the
relationship of grades on final examination to grades on two exams during the
semester. X1 denotes the grades on the mid-term exam, X2
denotes the grades on the final exam and Y denotes the grades on the final
examination.
(i)
Estimate the regression coefficient of Y on X1
and X2
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m)
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For
10 families, the following data were available on their income ( in ‘000)
expenditure in ( in ‘000) and family size. We will use these4 data to compute
the multiple regression equation and the coefficient of determination.
(i)
Estimate the regression coefficient of Y on X1
and X2
(ii)
Compute the average family expenditure for a
family with 6 members and an income of 17000 taka.
(iii)
Compute the coefficient of multiple determination
and comment on the result
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Chapter
: Eight
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1.
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a)
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What
do you mean by Sampling? Discuss briefly the importance of Sampling
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b)
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What
points a researcher should keep in mind for sample size and its
determination.
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c)
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A university student wants to determine the mean
amount of members of city councils in large cities earn per month as
remuneration for being a council member. The error in estimating the mean is
to be less than Tk.100 with a 95 percent level of confidence. The student
found a report by the Department of Labor that estimated the standard
deviation to be Tk.1000. What is the required sample size?
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d)
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A
consumer group would like to estimate the mean monthly electricity charge for
a single family house in June. The
error in estimating the mean is to be within Tk.5 with a 99 percent
level of confidence. Based on similar studies the standard deviation is estimated
to be Tk.20.00. How large a sample is required?
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e)
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A
real estate company would like to estimate the mean monthly electricity
consumption in their apartment complexes located in a city within ±50kw/h of
the true value and desires to be 95% confident of correctly assessing the
true mean. On the basis of a study
undertaken elsewhere in a similar environment, the company believes that the
standard deviation can be estimated as 200kw/h. How large a sample is required?
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f)
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Determine
the size of the sample for estimating the true weight of the cereal
containers for the universe with N = 500 on the basis of the following
information: (1) The variance of weight = 4 ounces on the basis of past
records.
(2)
Estimate should be within 0.8 ounces of the true average weight with 99%
probability. Will there be a change in the size of the sample if we assume
infinite population in the given case? If so, explain by how much?
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g)
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The National Board of Revenue (NBR) suspects on
the basis of a preliminary enquiry that 20% businessmen provide false
statement in their tax return. They now plan to undertake a statistical study
to estimate the true proportion of person who falsifies their returns. How
large a sample would be needed if they want to 90% certain that the error in
the estimation in the true proportion will be within ±5%.
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h)
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The
Dhaka Club wanted to estimate the proportion of children that have a dog as a
pet. If the club wanted the estimate
to be within 3% of the population proportion, how many children would they
need to contact? Assume a 95% level of
confidence and that the club estimated that 30% of the children have a dog as
a pet.
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i)
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A
study needs to estimate the proportion of cities that have private refuse
collectors. The investigator wants the margin of error to be within 0.10 of
the population proportion, the desired level of confidence is 90 percent, and
no estimate is available for the population proportion. What is the required
sample size?
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j)
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What should be the size of the sample if a simple random sample
from a population of 4000 items is to be drawn to estimate the percent
defective within 2 percent of the true value with 95.5 per cent probability?
What would be the size of the sample if the population is assumed to be
infinite in the given case?
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K)
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Book Illustration: 1, 2, 3 &4.
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Chapter nine
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1.
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a)
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What
is a Hypothesis? What are the characteristics of Hypothesis?
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b)
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What
do you mean by Level of Significance?
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c)
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What
do you mean by Type I and Type II Errors?
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d)
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What
do you mean by One tailed test? How it is differ from two tailed test. Show
it through a diagram.
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e)
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What
are the basic difference between critical region and critical value?
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f)
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Discuss
briefly the procedure for hypothesis testing.
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g)
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When
Z, t, F and Chi-squire test will be applicable.
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h)
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A
sample of 400 male students is found to have a mean height 67.47 inches. Can
it be reasonably regarded as a sample from a large population with mean
height 67.39 inches and standard deviation 1.30 inches? Test at 5% level of
significance.
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i)
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Suppose
we are interested in a population of 20 industrial units of the same size,
all of which are experiencing excessive labour turnover problems. The past
records show that the mean of the distribution of annual turnover is 320
employees, with a standard deviation of 75 employees. A sample of 5 of these
industrial units is taken at random which gives a mean of annual turnover as
300 employees. Is the sample mean consistent with the population mean? Test
at 5% level.
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j)
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The
mean of a certain production process is known to be 50 with a standard
deviation of 2.5. The production manager may welcome any change is mean value
towards higher side but would like to safeguard against decreasing values of
mean. He takes a sample of 12 items that gives a mean value of 48.5. What
inference should the manager take for the production process on the basis of
sample results? Use 5 per cent level of significance for the purpose.
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k)
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The
specimen of copper wires drawn form a large lot has the following breaking
strength (in kg. weight):578, 572, 570, 568, 572, 578, 570, 572, 596, 544
Test (using Student’s t-statistic) whether the mean breaking strength of the
lot may be taken to be 578 kg. Weight (Test at 5 per cent level of
significance).
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l)
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Raju
Restaurant near the railway station at Falna has been having average sales of
500 tea cups per day. Because of the development of bus stand nearby, it
expects to increase its sales. During the first 12 days after the start of
the bus stand, the daily sales were as under: 550, 570, 490, 615, 505, 580,
570, 460, 600, 580, 530, 526 On the basis of this sample information, can one
conclude that Raju Restaurant’s sales have increased? Use 5 per cent level of
significance.
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m)
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The
mean produce of wheat of a sample of 100 fields in 200 lbs. per acre with a
standard deviation of 10 lbs. Another sample of 150 fields gives the mean of
220 lbs. with a standard deviation of 12 lbs. Can the two samples be
considered to have been taken from the same population whose standard
deviation is 11 lbs? Use 5 per cent level of significance.
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n)
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A
simple random sampling survey in respect of monthly earnings of semi-skilled
workers in two cities gives the following statistical information:
Test
the hypothesis at 5 per cent level that there is no difference between
monthly earnings of workers in the two cities.
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o)
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Sample
of sales in similar shops in two towns are taken for a new product with the
following results:
Is
there any evidence of difference in sales in the two towns? Use 5 per cent
level of significance for testing this difference between the means of two
samples.
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p)
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A
sample survey indicates that out of 3232 births, 1705 were boys and the rest
were girls. Do these figures confirm the hypothesis that the sex ratio is 50:
50? Test at 5 per cent level of significance.
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q)
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The
null hypothesis is that 20 per cent of the passengers go in first class, but
management recognizes the possibility that this percentage could be more or
less. A random sample of 400 passengers includes 70 passengers holding first
class tickets. Can the null hypothesis be rejected at 10 per cent level of
significance?
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r)
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A
certain process produces 10 per cent defective articles. A supplier of new
raw material claims that the use of his material would reduce the proportion
of defectives. A random sample of 400 units using this new material was taken
out of which 34 were defective units. Can the supplier’s claim be accepted?
Test at 1 per cent level of significance.
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s)
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Two
random samples drawn from two normal populations are:
Sample 1:
20 16 26 27 23 22 18 24 25 19
Sample 2:
27 33 42 35 32 34 38 28 41 43 30 37
Test
using variance ratio at 5 per cent and 1 per cent level of significance
whether the two populations have the same variances.
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t)
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u)
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Book Illustration:
2, 3 ,4,5,6,7,8,9,10,13,14,15,19,20.
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Chapter ten
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1.
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a)
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What do you
mean by Chi Square test? Conditions
for the application of x2 test
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b)
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Weight
of 10 students is as follows :
Can
we say that the variance of the distribution of weight of all students from
which the above sample of 10 students was drawn is equal to 20 kgs? Test this
at 5 % and 1% level of significance.
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c)
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A sample of 10 is drawn randomly from a certain population.
The sum of the squared deviations from the mean of the given sample is 50.
Test the hypothesis that the variance of the population is 5 at 5 per cent
level of significance.
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d)
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Find the value of Chi-squire(x2) for the following
information.
.
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e)
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Find
the value of Chi-squire(x2) for the following information.
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f)
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Genetic theory states that children having one parent
of blood type A and the other of blood type B will always be of one of three
types, A, AB, B and that the proportion of three types will on an average be
as 1 : 2 : 1. A report states that out of 300 children having one A parent
and B parent,30 per cent were found to be types A, 45 per cent per cent type
AB and remainder type B. Test the hypothesis by χ2 test.
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g)
.
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The
table given below shows the data obtained during outbreak of smallpox:
Test
the effectiveness of vaccination in preventing the attack from smallpox. Test
your result with the help of χ2 at 5
per cent level of significance.
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h)
.
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Show that the sampling technique of at
least one research worker is defective.
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i)
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Discuss briefly the steps involved in
applying chi-square test.
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