In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At a=0.09, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and H₂- The claim is "the proportion of female college enrollees is the proportion of male college enrollees." Let p, represent the population proportion for female college enrollees and p2 represent the population proportion for male college enrollees. State Ho and H₂. Choose the correct answer below. OA. Ho: P₁ #P2 Ha: P1 P2 O D. Ho: P₁ SP2 Ha: P1 P2 OA. Z< O C. z< OB. Ho: P1 P2 Ha: P1 SP2 and z> CHE OE. Ho: P1 P2 H₂: P₁ P₂ (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Rund to two decimal places as needed.) OC. Ho: P₁ P2 Ha: P1 P2 OB. z> OD.7 OF. Ho: P1 = P2 Ha: P₁ P2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
I need help on my homework
In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At
x = 0.09, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a)
through (e).
(a) Identify the claim and state Ho and H₂-
The claim is "the proportion of female college enrollees is
the proportion of male college enrollees."
Let p₁ represent the population proportion for female college enrollees and p2 represent the population proportion for male college enrollees. State Ho and Ha-
Choose the correct answer below.
OA. Ho: P₁ #P2
Ha: P1 P2
OD. Ho: P₁ SP2
H₂: P₁ P2
OA. Z<
OC. z<
OB. Ho: P1 P2
Ha: P1 SP2
and z>
CIE
O E. Ho: P1 <P2
Ha: P₁ P2
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is(are).
(Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.)
Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Rund to two decimal places as needed.)
OB. z>
O D.
OC. Ho: P1 2P2
Ha: P1 P2
<Z<
OF. Ho: P1 P2
Ha: P₁ P2
Transcribed Image Text:In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At x = 0.09, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and H₂- The claim is "the proportion of female college enrollees is the proportion of male college enrollees." Let p₁ represent the population proportion for female college enrollees and p2 represent the population proportion for male college enrollees. State Ho and Ha- Choose the correct answer below. OA. Ho: P₁ #P2 Ha: P1 P2 OD. Ho: P₁ SP2 H₂: P₁ P2 OA. Z< OC. z< OB. Ho: P1 P2 Ha: P1 SP2 and z> CIE O E. Ho: P1 <P2 Ha: P₁ P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Rund to two decimal places as needed.) OB. z> O D. OC. Ho: P1 2P2 Ha: P1 P2 <Z< OF. Ho: P1 P2 Ha: P₁ P2
In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At
α=0.09, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a)
through (e).
O C. z<
9
(c) Find the standardized test statistic.
Z= (Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Choose the correct answer below.
O Reject Ho because the test statistic is not in the rejection region.
O Reject Ho because the test statistic is in the rejection region.
O Fail to reject Ho because the test statistic is in the rejection region.
O Fail to reject Ho because the test statistic is not in the rejection region.
(e) Interpret the decision in the context of the original claim.
Choose the correct answer below.
OA. At the 9% significance level, there is sufficient evidence to support the claim.
OB. At the 9% significance level, there is sufficient evidence to reject the claim.
OC. At the 9% significance level, there is insufficient evidence to support the claim.
OD. At the 9% significance level, there is insufficient evidence to reject the claim.
DE
O D.
-
<Z<
Transcribed Image Text:In a survey of 180 females who recently completed high school, 80% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At α=0.09, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). O C. z< 9 (c) Find the standardized test statistic. Z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O Reject Ho because the test statistic is not in the rejection region. O Reject Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is in the rejection region. O Fail to reject Ho because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. Choose the correct answer below. OA. At the 9% significance level, there is sufficient evidence to support the claim. OB. At the 9% significance level, there is sufficient evidence to reject the claim. OC. At the 9% significance level, there is insufficient evidence to support the claim. OD. At the 9% significance level, there is insufficient evidence to reject the claim. DE O D. - <Z<
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 24 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman