For students who first enrolled in two-year public institutions in a recent semester, the proportion who earned a bachelor's degree within six years was 0.397 . The president of a certain junior college believes that the proportion of students who enroll in her institution have a higher completion rate.
(a) State the null and alternative hypotheses in words.
(b) State the null and alternative hypotheses symbolically.
(c) Explain what it would mean to make a Type I error.
(d) Explain what it would mean to make a Type II error.
B. Among students wno rirst enroll in two-year pubil institutions, the compietion rate is U.syi.
C. Among students who enroll at the certain junior college, the completion rate is 0.397 .
D. Among students who enroll at the certain junior college, the completion rate is greater than 0.397 .

State the alternative hypothesis in words. Choose the correct answer below.
A. Among students who enroll at the certain junior college, the completion rate is 0.397 .
B. Among students who enroll at the certain junior college, the completion rate is less than 0.397 .
C. Among students who enroll at the certain junior college, the completion rate is greater than 0.397 .
D. Among students who first enroll in two-year public institutions, the completion rate is 0.397 .
(b) State the hypotheses symbolically.
\begin{tabular}{l|l|l|}
$\mathrm{H}_{0}:$ & $\nabla$ & $\nabla$ \\
$\mathrm{H}_{1}:$ & $\nabla$ & $\square$ \\
\hline$\nabla$
\end{tabular}
(Type integers or decimals. Do not round.)