Question

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		489489	329329
Women who disagree		311311	7171

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 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.

B.

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.

C.

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.

2. what is the test statistic?

3. what is the critical value x squared?

4 fail to reject or reject and why?

Answer 1

We want to test that the response of the subject and the gender of the subject are independent.

Ho:- The response of the subject and the gender of the subject are independent.

vs

Ha:- The response of the subject and the gender of the subject are dependent.

We may conclude that the data provides the sufficeint evidence to support the claim that the response of the subject and the gender of the subject are dependent.