10.1.15 Question Help * For students who first enrolled in two year public insti

Question

10.1.15 Question Help * 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 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. Ho (Type integers or decimals. Do not round.)

Explanation / Answer

a) test hypothesis :-

Ho : p = 0.395 Vs. H1: p > 0.395

b) Type I error :- Reject the null hypothesis (Ho) when Ho is true.

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) Do not reject the null hypothesis (Ho) when it is false.

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 greater than 0.395.

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