Question

The article “HIV-positive Smokers Considering Quitting: Differences by Race/Ethnicity” (E. Lloyd- Richardson, C. Stanton, et al., Am J Health Behav, 2008:3–15) surveyed 444 HIV-positive smokers. Of these, 281 were male and 163 were female. Consider this to be a simple random sample. Can you conclude that more than 60% of HIV-positive smokers are male?

Use α = 0.05 and perform the following steps.

(a) State the null and alternative hypotheses.

(b) Calculate the test statistic.

(c) Calculate the p-value.

(d) State the conclusion of the test in the context of this setting.

(e) Be sure to state and check the assumptions for applying the test.

(f) The test could have been conducted using a one-sided 95% Agresti confidence interval for the population proportion. Go ahead and generate this confidence interval. After constructing your confidence interval, state the conclusion in the context of the study and the conclusion of the hypothesis test

Answer 1