ucture.com/courses/ 154430/quizzes/316316/take D Question 25 2.5 pts According to a recent study, tuition at four-year private colleges averaged $32,267 for full time students for the last academic year. Suppose that for the next academic year, a random sample of 71 colleges yielded the following data on tuition and fees: x-bar = $33,565 and s = $4,531. Assuming a one-tailed test would be appropriate, specify the null and alternative hypotheses you would use to test whether the mean amount for tuition and fees increased from last yearaEMs level and find the p-value. Ho: mu $32,267; p-value = 0.0158 O Ho: mu = $33,565; Ha: mu not = $33,565; p-value = 0.0158 O Ho: mu $32,267; p-value = 0.9921 O Ho: mu $32,267; p-value = 0.0079 O Ho: mu $33,565; p-value = 0.0079 O Ho: mu >= $32,267; Ha: mu $33,565; p-value = 0.0079