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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 0.394. 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 I error. (c) Explain what it would mean to make a Type II error. (a) State the hypotheses. Ho: 0.394 Ha: 0.394 (Type integers or decimals. Do not round.)(b) Which of the following is a Type I error? O A. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.394, when, in fact, the proportion is 0.394. O B. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.394, when, in fact, the proportion is 0.394. O C. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.394, when, in fact, the proportion is less thanO D. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.394, when, in fact, the proportion is less than 0.394.(c) Which of the following is a Type II error? O A. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.394, when, in fact, the proportion is less than 0.394 O B. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.394, when, in fact, the proportion is 0.394.O C. The president fails to reject the hypothesis that the proportion of students who earn a bachelofs degree within six years is 0.394, when, in fact, the proportion is less than 0.394. O D. The president rejects the hypothesis that the proportion of students who earn a bachelors degree within six years is 0.3294, when, in fact, the proportion is 0.3294