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Instructions: Choose the number of the correct statistical procedure (test) for

ID: 3155894 • Letter: I

Question

Instructions: Choose the number of the correct statistical procedure (test) for the problem listed below. Use the information to set up the appropriate null hypothesis and give the type of the response variable. Choices of tests include:

1-sample z-test about a proportion (1)

1-sample t-test about a mean (2)

2-sample z-test about two proportions (3)

2-sample t-test about two independent means (4)

paired t-test about average difference of two means (5)

Nonparametric test about medians (6)

t-test about a slope of a regression line (7)

Chi-square test (8)

Given below are the responses of 200 students to the questions: Do you think your self-esteem has risen since coming to college? & Are you (or do you think you are) overweight or about right or underweight?

---------------------------Over Weight-----About Right----Under Weight----Total
Self Esteem---No----------24-------------------35---------------------5------------------64
---------------------Yes----------31-------------------89-------------------16-----------------136

--------------------Total----------55-----------------124-------------------21-----------------200            

Is there a relationship between self-esteem and weight perception?  

Explanation / Answer

Here we are given 3 X 2 table. And we are interested in finding the relationship between self -esteem and weight perception.

The hypothesis are

H0 : There is no relationship between self -esteem and weight perception.

H1: There is relationship between self -esteem and weight perception.

Type of response variable is categorical.

Hence we use Chi-square test of independence.

The correct number of test is 8.