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?

Answer 1

Given:

Sample size, n = 20

Significance level = 5% = 0.05

Mean, u = 8

Here, the sample mean was not given.

Here the null and alternative hypothesis will be:

H0 : u = 8

H1 : u < 8

In this case, since there is no evidence to reject the null hypothesis, H0, at 0.05 level of significance, we can say that the p-value is greater than the level of significance, 0.05.