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	314314	160160	3434
Female	332332	138138	3232

Click here to view the chi-square distribution table.

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Identify the null and alternative hypotheses.

Upper H 0H0​:

▼

The choice for human activity

The sex of the respondent

Respondents who answered yes

and

▼

the respondents who answered no

the choice for natural patterns

the choice for the cause of global warming

are

▼

dependent.

independent.

Upper H 1H1​:

▼

The sex of the respondent

Respondents who answered yes

The choice for human activity

and

▼

the choice for natural patterns

the respondents who answered no

the choice for the cause of global warming

are

▼

independent.

dependent.

Compute the test statistic.

nothing

​(Round to three decimal places as​ needed.)

Find the critical​ value(s).

nothing

​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

What is the conclusion based on the hypothesis​ test?

▼

Fail to reject

Reject

Upper H 0H0.

There

▼

is

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 women

▼

appear

do not appear

to agree.

Answer 1

H₀: The sex of the respondent and the choice for the cause of global warming are independent.
H₁: The sex of the respondent and the choice for the cause of global warming are dependent.



Conclusion: Fail to reject H₀.
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 women appear to agree.