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 0.398. 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 Il error. (a) State the null hypothesis in words. Choose the correct answer below. O A. Among students who enroll at the certain junior college, the completion rate is 0.398. O B. Among students who enroll at the certain junior college, the completion rate is less than 0.398. OC. Among students who enroll at the certain junior college, the completion rate is greater than 0.398. O D. Among students who first enroll in two-year public institutions, the completion rate is 0.398. State the alternative hypothesis in words. Choose the correct answer below. O A. Among students who enroll at the certain junior college, the completion rate is less than 0.398. O B. Among students who first enroll in two-year public institutions, the completion rate is 0.398. OC. Among students who enroll at the certain junior college, the completion rate is 0.398. O D. Among students who enroll at the certain junior college, the completion rate is greater than 0.398. (b) State the hypotheses symbolically. Họ: H,: (Type integers or decimals. Do not round.) (c) What would it mean to make a Type I error? The president V the hypothesis that the proportion of students who earn a bachelor's degree within six years is when, in fact, the proportion is (Type integers or decimals. Do not round.) (d) What would it mean to make a Type Il error? The president V the hypothesis that the proportion of students who earn a bachelor's degree within six years is when, in fact, the proportion is (Type integers or decimals. Do not round.)