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 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.
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-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.
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