Question

The table below summarizes data from a survey of a sample of women. Using a

0.050.05

significance​ level, and assuming that the sample sizes of

900900

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		572	336
Women who disagree		328	64

Click here to view the chi-square distribution table.

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Identify the null and alternative hypotheses. Choose the correct answer below.

A.

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.

B.

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.

C.

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.

What is test statistic?

Find the critical Values

What is conclusion based on hypothesis test?

Answer 1

H0: gender interview affected

H1: not affected

test statistic would be:

test-statistc= 9.862

p-value= 0.001687

Conclusion= p-value<0.05 , so we reject the given null hypothesis