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 0.389. 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. Question content area bottom Part 1 (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 greater than 0.389. B. Among students who first enroll in two-year public institutions, the completion rate is 0.389. C. Among students who enroll at the certain junior college, the completion rate is less than 0.389. D. Among students who enroll at the certain junior college, the completion rate is 0.389. Part 2 State the alternative hypothesis in words. Choose the correct answer below. A. Among students who enroll at the certain junior college, the completion rate is greater than 0.389. B. Among students who enroll at the certain junior college, the completion rate is 0.389. C. Among students who enroll at the certain junior college, the completion rate is less than 0.389. D. Among students who first enroll in two-year public institutions, the completion rate is 0.389. Part 3 (b) State the hypotheses symbolically. H0: ▼ muμ pp sigmaσ ▼ greater than> equals= not equals≠ less than< enter your response here H1: ▼ pp sigmaσ muμ ▼ equals= less than< greater than> not equals≠ enter your response here (Type integers or decimals. Do not round.) Part 4 (c) What would it mean to make a Type I error? The president ▼ fails to reject rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is ▼ less than greater than equal to different from enter your response here when, in fact, the proportion is ▼ less than equal to different from greater than enter your response here. (Type integers or decimals. Do not round.) Part 5 (d) What would it mean to make a Type II error? The president ▼ fails to reject rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is ▼ less than equal to greater than different from enter your response here when, in fact, the proportion is ▼ equal to greater than less than different from enter your response here. (Type integers or decimals. Do not round.)

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 0.389. 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. Question content area bottom Part 1 (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 greater than 0.389. B. Among students who first enroll in two-year public institutions, the completion rate is 0.389. C. Among students who enroll at the certain junior college, the completion rate is less than 0.389. D. Among students who enroll at the certain junior college, the completion rate is 0.389. Part 2 State the alternative hypothesis in words. Choose the correct answer below. A. Among students who enroll at the certain junior college, the completion rate is greater than 0.389. B. Among students who enroll at the certain junior college, the completion rate is 0.389. C. Among students who enroll at the certain junior college, the completion rate is less than 0.389. D. Among students who first enroll in two-year public institutions, the completion rate is 0.389. Part 3 (b) State the hypotheses symbolically. H0: ▼ muμ pp sigmaσ ▼ greater than> equals= not equals≠ less than< enter your response here H1: ▼ pp sigmaσ muμ ▼ equals= less than< greater than> not equals≠ enter your response here (Type integers or decimals. Do not round.) Part 4 (c) What would it mean to make a Type I error? The president ▼ fails to reject rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is ▼ less than greater than equal to different from enter your response here when, in fact, the proportion is ▼ less than equal to different from greater than enter your response here. (Type integers or decimals. Do not round.) Part 5 (d) What would it mean to make a Type II error? The president ▼ fails to reject rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is ▼ less than equal to greater than different from enter your response here when, in fact, the proportion is ▼ equal to greater than less than different from enter your response here. (Type integers or decimals. Do not round.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 27T

See similar textbooks

Question content area bottom

Part 1

(a) State the null hypothesis in words. Choose the correct answer below.

Among students who enroll at the certain junior college, the completion rate is greater than

0.389.

Among students who first enroll in two-year public institutions, the completion rate is

0.389.

Among students who enroll at the certain junior college, the completion rate is less than

0.389.

Among students who enroll at the certain junior college, the completion rate is

0.389.

Part 2

State the alternative hypothesis in words. Choose the correct answer below.

Among students who enroll at the certain junior college, the completion rate is

greater

than

0.389.

Among students who enroll at the certain junior college, the completion rate is

0.389.

Among students who enroll at the certain junior college, the completion rate is

less

than

0.389.

Among students who first enroll in two-year public institutions, the completion rate is

0.389.

Part 3

(b) State the hypotheses symbolically.

H0:

▼

muμ

sigmaσ

▼

greater than>

equals=

not equals≠

less than<

enter your response here

H1:

▼

sigmaσ

muμ

▼

equals=

less than<

greater than>

not equals≠

enter your response here

(Type integers or decimals. Do not round.)

Part 4

The president

▼

fails to reject

rejects

the hypothesis that the proportion of students who earn a bachelor's degree within six years is

▼

less than

greater than

equal to

different from

enter your response here

when, in fact, the proportion is

▼

less than

equal to

different from

greater than

enter your response here.

(Type integers or decimals. Do not round.)

Part 5

(d) What would it mean to make a Type II error?

The president

▼

fails to reject

rejects

the hypothesis that the proportion of students who earn a bachelor's degree within six years is

▼

less than

equal to

greater than

different from

enter your response here

when, in fact, the proportion is

▼

equal to

greater than

less than

different from

enter your response here.

(Type integers or decimals. Do not round.)

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