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 test statistic to test the hypotheses is _____.
A)2.25
B)2.44
C)1.11
D)-2.25
E)-2.44

Question

Quizplus · Accepted Answer

The appropriate test statistic to test the hypotheses is the z-statistic, which is calculated as:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Using the given values, we get:

z = (66.5 - 63) / (4 / sqrt(50)) = 2.44

Thus, the best choice is B (2.44).

A Survey of the Wine Market Has Shown That the Preferred