A survey of the wine market has shown that the preferred wine for 17% of those surveyed is merlot. A merlot wine producer believes the figure is higher. A random sample of 550 adults was asked which wine they preferred. Suppose 115 replied that merlot was their wine preference.
-The appropriate hypotheses to test the wine producer's claim is _____.

Question

A survey of the wine market has shown that the preferred wine for 17% of those surveyed is merlot. A merlot wine producer believes the figure is higher. A random sample of 550 adults was asked which wine they preferred. Suppose 115 replied that merlot was their wine preference. -The appropriate hypotheses to test the wine producer's claim is _____. A)H₀: p ≤ .21 vs H_A: p > .21 B)H₀: p ≥ .17 vs H_A: p < .17 C)H₀: p ≤ .17 vs H_A: p > .17 D)H₀: p = .17 vs H_A: p ≠ .17 E)H₀: p ≠ .17 vs H_A: p = .17

Quizplus · Accepted Answer

The null hypothesis should be set as the claim made by the wine producer, which is that the proportion of wines rated as "best buy" is no more than 17%. Thus, the null hypothesis is H₀: p ≤ .17, and the alternative hypothesis should be the opposite, i.e., H_A: p > .17. Choice C correctly represents these hypotheses.

A Survey of the Wine Market Has Shown That the Preferred