(c) Which of the following is a Type Il error? O A. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is 0.391. O B. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is 0.391. O C. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is greater than 0.391. O D. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is greater than 0.391.

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Part c
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 0.391. The
president of a certain college believes that the proportion of students who enroll in her institution have a higher 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 Il error.
(a) State the hypotheses.
Họ:
= 0.391
> 0.391
H1:
(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 earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is
greater than 0.391.
O B. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the
proportion is greater than 0.391.
Oc. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is
0.391.
O D. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the
proportion is 0.391.
(c) Which of the following is a Type Il error?
O A. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is
0.391.
O B. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the
proportion is 0.391.
O C. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the
proportion is greater than 0.391.
O D. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is
greater than 0.391.
Transcribed Image Text: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 0.391. The president of a certain college believes that the proportion of students who enroll in her institution have a higher 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 Il error. (a) State the hypotheses. Họ: = 0.391 > 0.391 H1: (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 earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is greater than 0.391. O B. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is greater than 0.391. Oc. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is 0.391. O D. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is 0.391. (c) Which of the following is a Type Il error? O A. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is 0.391. O B. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is 0.391. O C. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is greater than 0.391. O D. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.391, when, in fact, the proportion is greater than 0.391.
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