resident of a certain college believes that the proportion of students who enroll in her institution have a lower 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. Type integers or decimals. Do not round.) b) Which of the following is a Type I error? O A. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportic is less than 0.389. O B. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion is 0.389. O C. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion is less than 0.389. O D. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportic is 0.389. (c) Which of the following is a Type II error? O A. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion is less than 0.389.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

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 college believes that the proportion of students who enroll in her institution have a lower 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
H1:
(Type integers or decimals. Do not round.)
(b) Which of the following is a Type I error?
O A. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion
is less than 0.389.
O B. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion is
0.389.
O C. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion is
less than 0.389.
O D. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion
is 0.389.
(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 0.389, when, in fact, the proportion is
less than 0.389.

(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 0.389, when, in fact, the proportion is
less than 0.389.
O B. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion
is 0.389.
O c. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion is
0.389.
O D. The president fails to reject the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.389, when, in fact, the proportion
is less than 0.389.

Expert Solution

Step 1

(a)

Determine the null and alternative hypotheses.

State the hypotheses

That is, the proportion of students who earn a bachelor’s degree within six years equals 0.389.

That is, the proportion of students who earn a bachelor’s degree within six years is less than 0.389.

Step 2

Determine the probability of type I error.

The probability of type I error is obtained below as follows:

Reject the null hypothesis that is, the proportion of students who earn a bachelor’s degree within six years equals 0.389 when in fact the proportion is 0.389.

Correct option: Option B

Step by step

Solved in 3 steps with 4 images

Knowledge Booster

$Statistical Power and Errors$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions