Math  /  Data & Statistics

QuestionQuestion 5, 10.1.13 Part 1 of 5 HW Score: 57.14%,457.14 \%, 4 of 7 points Points: 0 of 1 Save
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 0.393 . The president of a certain junior college believes that the proportion of students who enroll in her institution have a lower completion rate. (a) State the null and alternative hypotheses in words. (b) State the null and alternative hypotheses symbolically. (c) Explain what it would mean to make a Type I error. (d) Explain what it would mean to make a Type II error. (a) State the null hypothesis in words. Choose the correct answer below. A. Among students who enroll at the certain junior college, the completion rate is less than 0.393. B. Among students who enroll at the certain junior college, the completion rate is greater than 0.393. C. Among students who enroll at the certain junior college, the completion rate is 0.393 . D. Among students who first enroll in two-year public institutions, the completion rate is 0.393 .

Studdy Solution
(a) C.
Among students who enroll at the certain junior college, the completion rate is 0.393. (b) H0:p=0.393H_0: p = 0.393, H1:p<0.393H_1: p < 0.393 (c) Concluding the junior college has a lower completion rate when it's actually the same as the national average. (d) Concluding the junior college's completion rate is not lower than the national average when it actually is lower.

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