How do I solve this problem using my ti 84 calulator? The table below summarizes
ID: 3159130 • Letter: H
Question
How do I solve this problem using my ti 84 calulator?
The table below summarizes data from a survey of a sample of women. Using a
0.010.01
significance level, and assuming that the sample sizes of
800800
men and
400400
women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women?
Gender of Interviewer
Man
Woman
Women who agree
525525
318318
Women who disagree
275275
8282
Identify the null and alternative hypotheses. Choose the correct answer below.
A.
Upper H 0H0:
The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women.
Upper H 1H1:
The proportions are different.
B.
Upper H 0H0:
The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.
Upper H 1H1:
The proportions are the same.
C.
Upper H 0H0:
The response of the subject and the gender of the subject are independent.
Upper H 1H1:
The response of the subject and the gender of the subject are dependent.
Compute the test statistic.
nothing
(Round to three decimal places as needed.)
Find the critical value(s).
nothing
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion based on the hypothesis test?
Upper H 0H0.
There
is not
is
sufficient evidence to warrant rejection of the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. It
does not appear
appears
that the gender of the interviewer affected the responses of women.
Gender of Interviewer
Man
Woman
Women who agree
525525
318318
Women who disagree
275275
8282
Explanation / Answer
(1) A
(2) Test statistic value = 124922.28
(3) critical value = 3.84
calculated value>critical value
reject Ho
i.e there was a sufficient evidence to warrant rejection of the claim that the proportions of agree/disagree responses were the same for subjects interviewed by men and the subjects interviewed by women
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