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StatisticsQ&A LibraryA 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 0.05significance 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 knowMale 313 133 52Female 306 157 49Identify the null and alternative hypotheses.Compute the test statistic. (round 3 decimal places) Find the critical value(s). (round 3 decimal places) What is the conclusion based on the hypothesis test?Question

Asked Dec 6, 2019

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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 313 133 52

Female 306 157 49

Identify the null and alternative hypotheses.

Compute the test statistic. (round 3 decimal places)

Find the critical value(s). (round 3 decimal places)

What is the conclusion based on the hypothesis test?

Step 1

The appropriate null and alternative hypotheses are stated below:

*H*_{0}: The sex of the respondent and the choice for the cause of global warming are independent.

*H*_{1}: The sex of the respondent and the choice for the cause of global warming not independent.

From the given information, the level of significance is 0.05.

The number of degrees of freedom is obtained as follows:

Step 2

Therefore, the number of degrees of freedom is 2.

Step-by-step procedure to find the critical value using MINITAB software:

- Choose
**Graph > Probability Distribution Plot**>**View Probability****> OK.** - From
**Distribution**, choose ‘**Chi-Square**’ - Enter
**Degrees of freedom**is**2**. - Click the
**Shaded Area** - Choose
**P****robability**and**Right Tail**for the region of the curve to shade. - Enter the
**data value**as**05**. - Click
**OK**.

Output using MINITAB software is obtained as follows:

Step 3

From the output, the critical value of chi-square is 5.991.

The general decision rule is reject the null hypothesis if test statistic > critical value.

Therefore, the decision rule is reject the null hypothesis if test statistic > 5.991.

*Test statistic:*

Step-by-step procedure to find the test statistic using MINITAB software:

- Choose
**Stat**>**Tables**>**Chi-Square Test for Association**. - Choose
**Summarized data in a two-way table**. - In ...

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