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 0.393 . The president of a certain junior college believes that the proportion of students who enroll in her institution have a lower 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. (a) State the null hypothesis in words. Choose the correct answer below. A. Among students who enroll at the certain junior college, the completion rate is less than 0.393 . B. Among students who enroll at the certain junior college, the completion rate is 0.393 . C. Among students who enroll at the certain junior college, the completion rate is greater than 0.393 . D. Amona students who first enroll in two-vear oublic institutions. the comoletion rate is 0.393 .

Progress saved Done Question 12 You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.73. Thus you are performing a left-tailed test. Your sample data produce the test statistic \( z=-1.83 \). Find the p-value accurate to 4 decimal places. p-value \( = \) Submit Question

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.82 . Thus you are performing a right-tailed test. Your sample data produce the test statistic \( z=1.195 \). Find the p-value accurate to 4 decimal places. p-value \( = \) Submit Question

You are conducting a study to see if the proportion of voters who prefer Candidate \( A \) is significantly more than 0.13 . Thus you are performing a right-tailed test. Your sample data produce the test statistic \( z=1.354 \). Find the p-value accurate to 4 decimal places. \( p \)-value \( =\square \)

Question 14 You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.56 . With \( H_{1}: \mathrm{p}>0.56 \) you obtain a test statistic of \( z=2.256 \). Use a normal distribution calculator and the test statistic to find the P-value accurate to 4 decimal places. It may be left-tailed, right-tailed, or 2 -tailed. P-value \( = \) Submit Question

Fill in the blank. In a we test the claim that different populations have the same proportions of some characteristics. McNemar's test Student t-test we test the claim that different populations have the same proportions of some characteristics test homogeneity