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 0.387. The president of a certain college believes that the proportion of students who enroll in her institution have a lower completion rate. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type | error. (c) Explain what it would mean to make a Type II error. (a) State the hypotheses. Ho (Type integers or decimals. Do not round.) (b) Which of the following is a Type I error? O A. The president rejects the hypothesis that the proportion of students who eam a bachelor's degree within six years is 0.387, when, in fact, the proportion is less than 0.387. O B. The president rejects the hypothesis that the proportion of students who eam a bachelor's degree within six years is 0.387, when, in fact, the proportion is 0.387. O C. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.387, when, in fact, the proportion is less than 0.387. O D. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.387, when, in fact, the proportion is 0.387. (c) Which of the following is a Type II error? O A. The president rejects the hypothesis that the proportion of students who eam a bachelor's degree within six years is 0.387, when, in fact, the proportion is 0.387. O B. The president rejects the hypothesis that the proportion of students who eam a bachelor's degree within six years is 0.387, when, in fact, the proportion is less than 0.387. O C. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.387, when, in fact, the proportion is 0.387. O D. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.387, when, in fact, the proportion is less than 0.387