A research center claims that 30% of U.S. adults have not purchased a certain brand because they found the advertisements distasteful. You decide to test this claim and ask a random sample of 250 U.S. adults whether they have not purchased a certain brand because they found the advertisements distasteful. Of those surveyed, 90 reply yes. At α = 0.10, is there enough evidence to reject the claim?

a. Verify that np ≥ 5 and nq ≥ 5.

b. Identify the claim and state H₀ and H_a.

c. Identify the level of significance α.

d. Find the critical values -z₀ and z₀ and identify the rejection regions.

e. Find the standardized test statistic z. Sketch a graph.

f. Decide whether to reject the null hypothesis.

g. Interpret the decision in the context of the original claim.