YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set α = 0.02. Which one of the following statements is true?
A)Because the p- value is less than α, we fail to reject the null hypothesis and conclude that the average length of an online video is less than 8 minutes.
B)Because the p- value is less than α, we reject the null hypothesis and conclude that the average length of an online video is more than 8 minutes.
C)Because the p- value is greater than α, we reject the null hypothesis and conclude that the average length of an online video is more than 8 minutes.
D)Because the p- value is greater than α, we fail to reject the null hypothesis and conclude that the average length of an online video is not more than 8 minutes.

Question

Quizplus · Accepted Answer

The correct choice is B because when the p-value is less than the significance level (α), it indicates that the observed data are sufficiently inconsistent with the null hypothesis (which would posit no effect or no difference, in this case, that the average length is not more than 8 minutes). Therefore, we reject the null hypothesis, supporting the alternative hypothesis that the average length of an online video watched by a user is more than 8 minutes.

YouTube Would Like to Test the Hypothesis That the Average