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A sportscaster claims that the mean salary of a football coach in the NCAA is less than $500,000. A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. The standard deviation of all salaries of NCAA football coaches is $463,364. Given a P-value of 0.1251 and a 0.05 significance level, state the conclusion about the null hypothesis.

A) reject the null hypothesis
B) fail to reject the null hypothesis
C) fail to accept the null hypothesis
D) accept the null hypothesis

1 answer

To determine the conclusion about the null hypothesis, you compare the P-value to the significance level (alpha).

Given:

  • P-value = 0.1251
  • Significance level (α) = 0.05

Since the P-value (0.1251) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, the correct conclusion is:

B) fail to reject the null hypothesis.