11.2,1 The table below summarizes data from a survey of a sample of women. Using a 0.05 significance level, and assuming that the sample sizes of 700 men and 400 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 458 345 Women who disagree 242 55 Chi Square distribution below; Area to the Right of the Critical Value 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 18.307 20.483 23.209 25.188 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H1: The proportions are the same. B. H0: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H1: The proportions are different. Your answer is correct. C. H0: The response of the subject and the gender of the subject are independent. H1: The response of the subject and the gender of the subject are dependent. Compute the test statistic. (Round to three decimal places as needed.) Find the ciritical value Do we reject or fail to reject the hypothesis because there is sufficent or insufficent information?
11.2,1 The table below summarizes data from a survey of a sample of women. Using a 0.05 significance level, and assuming that the sample sizes of 700 men and 400 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 458 345 Women who disagree 242 55 Chi Square distribution below; Area to the Right of the Critical Value 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 18.307 20.483 23.209 25.188 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H1: The proportions are the same. B. H0: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H1: The proportions are different. Your answer is correct. C. H0: The response of the subject and the gender of the subject are independent. H1: The response of the subject and the gender of the subject are dependent. Compute the test statistic. (Round to three decimal places as needed.) Find the ciritical value Do we reject or fail to reject the hypothesis because there is sufficent or insufficent information?
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Question
100%
11.2,1
The table below summarizes data from a survey of a sample of women. Using a
0.05
significance level, and assuming that the sample sizes of
700
men and
400
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
|
|
458
|
345
|
|
|
|
Women who disagree
|
|
242
|
55
|
|
|
Chi Square distribution below;
Area to the Right of the Critical Value
|
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
|
18.307
|
20.483
|
23.209
|
25.188
|
Identify the null and alternative hypotheses. Choose the correct answer below.
H0:
The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.H1:
The proportions are the same.H0:
The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women.H1:
The proportions are different.H0:
The response of the subject and the gender of the subject are independent.H1:
The response of the subject and the gender of the subject are dependent.Compute the test statistic.
(Round to three decimal places as needed.)
Find the ciritical value
Do we reject or fail to reject the hypothesis because there is sufficent or insufficent information?
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