An education researcher claims that at most 3​% of working college students are employed as teachers or teaching assistants. In a random sample of 500 working college​ students, 4​% are employed as teachers or teaching assistants. At α=0.05​, is there enough evidence to reject the​ researcher's claim? Complete parts​ (a) through​ (e) below.       ​(a) Identify the claim and state H0 and Ha.   Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. ​(Type an integer or a decimal. Do not​ round.)   A. enter your response here​% of working college students are employed as teachers or teaching assistants.   B. At most enter your response here​% of working college students are employed as teachers or teaching assistants.   C. More than enter your response here​% of working college students are employed as teachers or teaching assistants.   D. The percentage of working college students who are employed as teachers or teaching assistants is not enter your response here​%. Let p be the population proportion of​ successes, where a success is a working college student who is employed as a teacher or teaching assistant. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Round to two decimal places as​ needed.)   A. H0​: penter your response here Ha​: p≤enter your response here   C. H0​: p=enter your response here Ha​: p≠enter your response here   D. H0​: p≥enter your response here Ha​: penter your response here   F. H0​: p≠enter your response here Ha​: p=enter your response here ​(b) Find the critical​ value(s) and identify the rejection​ region(s).   Identify the critical​ value(s) for this test.   z0=enter your response here ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.) Identify the rejection​ region(s). Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to two decimal places as​ needed.)   A. The rejection region is zenter your response here.   C. The rejection region is enter your response hereenter your response here. ​(c) Find the standardized test statistic z.   z=enter your response here ​(Round to two decimal places as​ needed.) ​(d) Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.   ▼   Reject Fail to reject the null hypothesis. There ▼   is is not enough evidence to ▼   support reject the​ researcher's claim.

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
An education researcher claims that at most
3​%
of working college students are employed as teachers or teaching assistants. In a random sample of
500
working college​ students,
4​%
are employed as teachers or teaching assistants. At
α=0.05​,
is there enough evidence to reject the​ researcher's claim? Complete parts​ (a) through​ (e) below.
 
 
 
​(a) Identify the claim and state
H0
and
Ha.
 
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
​(Type an integer or a decimal. Do not​ round.)
 
A.
enter your response here​%
of working college students are employed as teachers or teaching assistants.
 
B.
At most
enter your response here​%
of working college students are employed as teachers or teaching assistants.
 
C.
More than
enter your response here​%
of working college students are employed as teachers or teaching assistants.
 
D.
The percentage of working college students who are employed as teachers or teaching assistants is not
enter your response here​%.
Let p be the population proportion of​ successes, where a success is a working college student who is employed as a teacher or teaching assistant. State
H0
and
Ha.
Select the correct choice below and fill in the answer boxes to complete your choice.
​(Round to two decimal places as​ needed.)
 
A.
H0​:
p<enter your response here
Ha​:
p≥enter your response here
 
B.
H0​:
p>enter your response here
Ha​:
p≤enter your response here
 
C.
H0​:
p=enter your response here
Ha​:
p≠enter your response here
 
D.
H0​:
p≥enter your response here
Ha​:
p<enter your response here
 
E.
H0​:
p≤enter your response here
Ha​:
p>enter your response here
 
F.
H0​:
p≠enter your response here
Ha​:
p=enter your response here
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
Identify the critical​ value(s) for this test.
 
z0=enter your response here
​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
Identify the rejection​ region(s). Select the correct choice below and fill in the answer​ box(es) to complete your choice.
​(Round to two decimal places as​ needed.)
 
A.
The rejection region is
z<enter your response here.
 
B.
The rejection regions are
z<enter your response here
and
z>enter your response here.
 
C.
The rejection region is
enter your response here<z<enter your response here.
 
D.
The rejection region is
z>enter your response here.
​(c) Find the standardized test statistic z.
 
z=enter your response here
​(Round to two decimal places as​ needed.)
​(d) Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.
 
 
Reject
Fail to reject
the null hypothesis. There
 
is
is not
enough evidence to
 
support
reject
the​ researcher's claim.
 
 
 
TextbookCalculator
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
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