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

0.050.05

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	305305	158158	5656
Female	326326	133133	5252

Click here to view the chi-square distribution table.

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Identify the null and alternative hypotheses.

Upper H 0H0​:

The sex of the respondent

and

the choice for the cause of global warming

are

independent.

Upper H 1H1​:

The sex of the respondent

and

the choice for the cause of global warming

are

dependent.

Compute the test statistic.

nothing

​(Round to three decimal places as​ needed.) can you breakdown the problem please?

Answer 1

degree of freedom(df) =(rows-1)*(columns-1)=

2

Applying chi square test statistic:

Expected	Ei=row total*column total/grand total	human activity	Natural Patterns	Don't know	Total
	Male	317.95	146.63	54.42	519
	female	313.05	144.37	53.58	511
	total	631	291	108	1030
chi square    χ2	=(Oi-Ei)2/Ei	human activity	Natural Patterns	Don't know	Total
	Male	0.5275	0.8816	0.0459	1.455
	female	0.5357	0.8954	0.0466	1.478
	total	1.063	1.777	0.093	2.9328

test statistic X² =2.933

p value =0.2307

as test statistic is less than critical value 5.991 we can not reject null hypothesis