Question

PLEASE HELP FAST!! IT IS URGENT!! The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses Hop-10,000 steps versus Hp 10,000 steps where the true mean number of steps taken per day. Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis?

u=9,000
u=9,500
u = 10,000
u = 10,500​

Answer 1

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.