Question

In: Statistics and Probability

The table below summarizes data from a survey of a sample of women. Using a 0.050.05...

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

800800

men and

300300

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	517517	262262
Women who disagree	283283	3838

Click here to view the chi-square distribution table.

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

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.

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.

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.)

Degrees of Freedom	0.995	0.99	0.975	0.95	0.90	0.10	0.05	0.025	0.01	0.005
1	-	-	0.001	0.004	0.016	2.706	3.841	5.024	6.635	7.879
2	0.010	0.020	0.051	0.103	0.211	4.605	5.991	7.378	9.210	10.597
3	0.072	0.115	0.216	0.352	0.584	6.251	7.815	9.348	11.345	12.838
4	0.207	0.297	0.484	0.711	1.064	7.779	9.488	11.143	13.277	14.860
5	0.412	0.554	0.831	1.145	1.610	9.236	11.071	12.833	15.086	16.750
6	0.676	0.872	1.237	1.635	2.204	10.645	12.592	14.449	16.812	18.548
7	0.989	1.239	1.690	2.167	2.833	12.017	14.067	16.013	18.475	20.278
8	1.344	1.646	2.180	2.733	3.490	13.362	15.507	17.535	20.090	21.955
9	1.735	2.088	2.700	3.325	4.168	14.684	16.919	19.023	21.666	23.589
10	2.156	2.558	3.247	3.940	4.865	15.987

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Expert Solution

orchestra answered 1 year ago

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