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 0.395.
The president of a certain college believes that the proportion of students who enroll in her institution have a lower completion rate.
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(a) |
Determine the null and alternative hypotheses. |
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(b) |
Explain what it would mean to make a Type I error. |
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(c) |
Explain what it would mean to make a Type II error. (b) Which of the following is a Type I error? A. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.3950.395, when, in fact, the proportion is lessless than 0.3950.395. B. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.3950.395, when, in fact, the proportion is 0.3950.395. C. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.3950.395, when, in fact, the proportion is 0.3950.395. D. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.3950.395, when, in fact, the proportion is lessless than 0.3950.395. (c) Which of the following is a Type II error? A. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.3950.395, when, in fact, the proportion is 0.3950.395. B. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.3950.395, when, in fact, the proportion is 0.3950.395. C. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.3950.395, when, in fact, the proportion is lessless than 0.3950.395. D. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.3950.395, when, in fact, the proportion is lessless than 0.3950.395. |
a)
| null Hypothesis: Ho: | p | = | 0.395 | |
| alternate Hypothesis: Ha: | p | < | 0.395 | |
b)
option B is correct
The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is
0.395, when, in fact, the proportion is 0.395.
c) option C
The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is
0.395 when, in fact, the proportion is less then 0.365
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