A t-test is conducted for the null hypothesis H0: = 10 versus the alternative Ha:

Question:

A t-test is conducted for the null hypothesis H0: µ = 10 versus the alternative Ha: µ > 10 for a random sample of n = 17 observations. The test results are t = 1.174, p-value = .1288.
a. Interpret the p-value.
b. What assumptions are necessary for the validity of this test?
c. Calculate and interpret the p-value assuming the alternative hypothesis was instead Ha: µ ≠ 10.