You run a onesided test where H0 20 and H1 20 Your tstatis

You run a one-sided test where H0: = 20, and H1: < 20. Your t-statistic is t = 1.75, and your software reports that the p-value for a two-sided test is .08. What should your p-value be?

Solution

p-value for 12 tailed hypothesis in direction of test statistic is half of that of 2-tailed hyp.
Thus, p-value for right tailed test (Because test statistic is positive), is (0.08/2) = 0.04

But for left tailed test (as asked by question), the p-value is 1 - 0.04 = 0.96