ProfJohnson conducts a hypothesis test on whether the propor

Prof.Johnson conducts a hypothesis test on whether the proportion of all UBC students who bike to school (denoted as p) equals 30%. Specifically, Prof.Johnson has H0:p=0.3 versus HA:p0.3. He obtains a P-value of 0.01. On the other hand, Prof. Smith would like to test if there is sufficient evidence to support that p is greater than 0.3 at the 10% significance level. Based on Prof. Johnson\'s result, will the null hypothesis of Prof. Smith\'s test be rejected?

A. There is insufficient information to tell.
B. Yes.
C. No.

Solution

two-tailed p-value is 0.01, thus one tailed p-value (in direction of test statistic) would be 0.005, which is less than 10%. But we do not know the sign of test statistic, so p-value could also be 1-0.005 = 0.995 which is not less than 10%

A. There is insufficient information to tell.