Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. The p-value for this hypothesis test would be between ______.
A)0.025 and 0.05
B)0.05 and 0.10
C)0.10 and 0.20
D)0.01 and 0.025

Question

Quizplus · Accepted Answer

Given the specific details of the hypothesis test (sample size, mean, standard deviation, and significance level), the p-value would be calculated based on the sample mean, standard deviation, and the size of the sample. The choice of α = 0.025 indicates a high level of stringency for rejecting the null hypothesis. Without performing the exact calculations, which would require using the t-distribution due to the small sample size (n < 30), we can infer that a mean of 33.9 with a standard deviation of 4.1 and a sample size of 22, testing the hypothesis that the true mean is less than 36, could very well produce a p-value that is quite low, indicating strong evidence against the null hypothesis in favor of the alternative. The exact range can't be determined without calculations, but given the options and the context, D is a plausible range for the p-value, suggesting strong evidence against the null hypothesis at the chosen significance level.

Zappos Is an Online Retailer Based in Nevada and Employs