A medical research team conducted a study to test the effect of a migraine drug. In the study, 400 subjects took the drug and 407 subjects took a placebo. The results after two hours are shown below. At α = 0.10, can you support the claim that the proportion of subjects who are free of nausea is greater for subjects who took the drug than for subjects who took a placebo?

Are You Free of Nausea After Two Hours?

(a) Identify the claim and state H₀ and H_a,

(b) Find the critical value(s) and identify the rejection region(s),

(c) Find the standardized test statistic z,

(d) Decide whether to reject or fail to reject the null hypothesis,

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent. If convenient, use technology.

No 140 No Yes 191 216 Yes 260 Placebo Drug