Question

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 309 143 59

Female 298   161 60

identify the null and alternative hypotheses

Ho(1) and (2) are (3)

H1: (4) and (5) are (6)

compute the test statistic

find the critical value

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 Woman (9) ______ to agree

Answer 1

Ho: Sex of the respondent and the choice for the cause of global warming are independent.

H1: Sex of the respondent and the choice for the cause of global warming are dependent.

	Observed frequency (O)
	Human activity	Natural patterns	Don't know	Total
Male	309	143	59	511
Female	298	161	60	519
Total	607	304	119	1030
	Expected frequency (E)
	Human activity	Natural patterns	Don't know
Male	301.14	150.82	59.04
Female	305.86	153.18	59.96
	(O-E)^2/E
	Human activity	Natural patterns	Don't know
Male	0.21	0.41	0.00
Female	0.20	0.40	0.00

The P-value for Chi-square=1.21 with (2-1)(3-1)=2 degree of freedom is 0.5401.

The Critical value of Chi-square=5.99. (alpha=0.05, df=2)

Fail to reject Ho. There is not 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 Woman appear to agree.