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 331 46 162 179 Female 317 45 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Ho: and are H₁: and are 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.) What is the conclusion based on the hypothesis test? Ho. There ▼sufficient evidence to warrant rejection of the claim that the sex of the respondent is independent of the choice for the cause of global warming. Men and women to agree.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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?
D
Human activity Natural patterns Don't know
Male
331
46
162
179
Female
317
45
Click here to view the chi-square distribution table.
Identify the null and alternative hypotheses.
Ho:
and
are
H₁:
and
are
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.)
What is the conclusion based on the hypothesis test?
Ho. There
sufficient evidence to warrant rejection of the claim that the sex of the respondent is independent of the choice for the cause of
global warming. Men and women
to agree.
X
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
1
0.001
0.004
0.016
2.706
0.010
0.020
0.051
0.103
0.211
4.605
0.072 0.115
0.216
0.352
0.584
6.251
0.207 0.297
0.484
0.711
1.064
7.779
0.554
0.831
1.145
1.610
9.236
0.412
0.676
0.872
1.237
1.635
2.204
10.645
0.989 1.239
1.690 2.167
2.833
12.017
1.344 1.646
2.180
2.733
3.490
13.362
1.735
2.088
2.700
3.325
4.168
14.684
2.156
2.558
3.247
3.940
4.865
15.987
◄
234567
8
9
10
Transcribed Image Text: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? D Human activity Natural patterns Don't know Male 331 46 162 179 Female 317 45 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Ho: and are H₁: and are 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.) What is the conclusion based on the hypothesis test? Ho. There sufficient evidence to warrant rejection of the claim that the sex of the respondent is independent of the choice for the cause of global warming. Men and women to agree. X 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 1 0.001 0.004 0.016 2.706 0.010 0.020 0.051 0.103 0.211 4.605 0.072 0.115 0.216 0.352 0.584 6.251 0.207 0.297 0.484 0.711 1.064 7.779 0.554 0.831 1.145 1.610 9.236 0.412 0.676 0.872 1.237 1.635 2.204 10.645 0.989 1.239 1.690 2.167 2.833 12.017 1.344 1.646 2.180 2.733 3.490 13.362 1.735 2.088 2.700 3.325 4.168 14.684 2.156 2.558 3.247 3.940 4.865 15.987 ◄ 234567 8 9 10
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