A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to​ agree, or is there a substantial​ difference?

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Section 11.2 Question #11

A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to​ agree, or is there a substantial​ difference?
 
 
 
 
 
 
 
Human activity
Natural patterns
​Don't know
 
Male
358
161
37
 
Female
337
141
36
 
 
View the chi-square distribution table.
Chi-square distribution table
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
 
Compute the test statistic.
 
___________ ​(Round to three decimal places as​ needed.)
 
Find the critical​ value(s).
 
__________
(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)
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