Question

it is recommended that adults get 8 hours of sleep each night. a researcher hypothesized college students got less than the recommended number of hours of sleep each night, on average. the researcher randomly sampled 20 college students and found no evidence to reject the null hypothesis at the 5% significance level. what is true regarding the p - value from this hypothesis test?

choose the correct answer below

○ a. the p - value must have been equal to 0.05

○ b. the p - value must have been less than or equal to 0.05.

○ c. the p - value must have been greater than 0.05.

○ d. we cannot determine a range for the p - value based on the information given.

Explanation:

In hypothesis testing, if we fail to reject the null hypothesis at a significance level $\alpha$, it means that the p - value is greater than $\alpha$. Here, the significance level $\alpha = 0.05$.

Answer:

C. The p - value must have been greater than 0.05.