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 0.05 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 307 173 27 Female 326 148 29 Identify the null and alternative hypotheses. Ho: (1)__________and (2)___________are (3)_____________ H1: (4)__________and (5)___________are (6)_____________ 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? (7)_____________ Ho. There (8)___________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 (9)__________to agree.
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 0.05 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 307 173 27
Female 326 148 29
Identify the null and alternative hypotheses.
Ho: (1)__________and (2)___________are (3)_____________
H1: (4)__________and (5)___________are (6)_____________
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?
(7)_____________ Ho. There (8)___________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 (9)__________to agree.
(1) Respondents who answered yes
The choice for human activity
The sex of the respondent
(2) the choice for the cause of global warming
the respondents who answered no
the choice for natural patterns
(3) independent.
dependent.
(4) Respondents who answered yes
The choice for human activity
The sex of the respondent
(5) the respondents who answered no
the choice for natural patterns
the choice for the cause of global warming
(6) independent.
dependent.
(7) Reject
Fail to reject
(8) is not
is
(9) do not appear
appear
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Totest independency for such questions we perform Chi-square test.
Ho: the man and women are independent of the choice for the cause of global warming. (men and women appear to agree).
H1: the man and women are not independent of the choice for the cause of global warming.( men and women not appear to agree).
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