Chapter 8, Problem 100CRE

True/False Test A teacher giving a true/false test wants to make sure her students do better than they would if they were simply guessing, so she forms a hypothesis to test this. Her null hypothesis is that a student will get $50\%$ of the questions on the exam correct. The alternative hypothesis is that the student is not guessing and should get more than $50\%$ in the long run.

${\text{H}}_{\text{0}}:p=0.50$

${\text{H}}_{\text{a}}:p>0.50$

A student gets 30 out of 50 questions, or $60\%,$ correct. The p-value is $\mathrm{0.079.}$ Explain the meaning of the p-value in the context of this question.