12. Inference review, problem 12 A study is undertaken to probe the varying leve

Question

12. Inference review, problem 12 A study is undertaken to probe the varying levels of police brutality in the United States in 1980 compared to 2000. A random sample of 200 U.S. residents was interviewed in 1980, and a random sample of 350 was interviewed in 2000. Subjects were asked the following question: On a scale from 1 to 10, how well do police treat you? With the null hypothesis being that police brutality levels are the same in both years, and failing to reject the null hypothesis for the F-test, which of the following tests should you use? A paired sample t-test for difference in means O A z-test for population proportion An F-test for difference in means O An independent samples t-test for difference in means (unequal variances) O A chi-squared test for variance An F-test for difference in variances O A t-test for the mean O A z-test for the mean O A z-test for difference in proportions O A z-test for the difference in means O An independent samples t-test for difference in means (equal variances)

Explanation / Answer

We fail to reject the null hypothesis for F test that means that we can assume that population variances are equal. Hence,

We will use independent samples t - test for differences in means (equal variances).

Option 11 is correct.

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