A retail grocery chain owner claims that more than 30% of adults have purchased a meal kit

Question:

A retail grocery chain owner claims that more than 30% of adults have
purchased a meal kit in a recent year. In a random sample of 36 adults, 25% have purchased a meal kit in a recent year. At α = 0.10, is there enough evidence to support the owner’s claim?


For each exercise, perform the steps below.

(a) Identify the claim and state H0 and Ha.

(b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.

(c) Choose one of the options.

Option 1: Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic.

Option 2: Find the appropriate standardized test statistic and the P-value. 

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

(e) Interpret the decision in the context of the original claim.

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