Question

Determine the test statistic.

What is the P Value?

Assigned Media Question Help A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? Click the icon to view the data table.

Answer 1

Answer Date: 31/07/2020 To test the claim is that the amount of smoking is independent of seat belt use at 5% significance level. The null and alternative hypothesis is, The null hypothesis is that the amount of smoking is independent of seat belt use. The alternative hypothesis is that the amount of smoking is not independent of seat belt use. The chi-square statistics is, By using TI-84 calculator, find chi-square test statistics with the help of following steps: 1) Click ON then click STAT. 2) Choose 2nd from x? 3) Enter 2 x 4 from MATRIX (A) in Edit menu. 4) Enter 2 x 4 data. 5) Press STAT. 6) Select C:Chi-Square Test, from TESTS. 7) Press Calculate.

X2-Test X2=4.467255606 P=.215229676 df=3 From TI-84 calculator output, the chi-square test statistic is 4.467 The p-value is, From TI-84 calculator output, the p-value is 0.2152 Decision The p-value is greater 0.05 which is 0.2152 indicate null hypothesis is not rejected at 5% level of significance. There is not sufficient evidence to reject the claim that the amount of smoking is independent of seat belt use, so the theory of people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts is not supported by sample data. The result is not statistically significant.