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 α = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses H0:μ = 10,000 steps versus Ha:μ ≠ 10,000 steps where μ = 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?
A. u = 9,000
B. u = 9,500
C. u = 10,000
D. u = 10,500