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

0.010.01

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	335335	163	35
Female	354354	149	34

Click here to view the chi-square distribution table.

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Identify the null and alternative hypotheses.

Upper H 0H0​:

▼

and

▼

the respondents who answered no

the choice for the cause of global warming

the choice for natural patterns

are

▼

dependent.

independent.

Upper H 1H1​:

▼

The sex of the respondent

The choice for human activity

Respondents who answered yes

and

▼

the respondents who answered no

the choice for the cause of global warming

the choice for natural patterns

are

▼

dependent.

independent.

Click to select your answer(s) and then click Check Answer.

Compute the test statistic

Find the critical Values

What is the conclusion based on the hypothesis test

Answer 1

H₀ : the sex of the respondent is dependent of the choice for the cause of global warming

H₁ : the sex of the respondent is independent of the choice for the cause of global warming

Observed Values: (O)
335 163 35
354 149 34

Expected Values:(E)
343.212 155.417 34.371
345.788 156.583 34.629

Chi-Squared Values:
0.196495 0.370002 0.0115099
0.195031 0.367246 0.0114241

here degree of freedom is (3-1)*(2-1) = 2

the critical Value at 0.01 withe 2 degree of freedom is 9.2103

since calculated value of chi square is less than the critical value of chi square so we accept the null hypothesis