An education researcher claims that 54​% of college students work​ year-round. In a random sample of 600 college​ students, 324 say they work​ year-round. At α=0.10​, 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. nothing​% of college students work​ year-round.   B. At most nothing​% of college students work​ year-round.   C. The percentage of college students who work​ year-round is not nothing​%.   D. At least nothing​% of college students work​ year-round. Let p be the population proportion of​ successes, where a success is a college student who works​ year-round. 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≠nothing Ha​: p=nothing   B. H0​: p≤nothing Ha​: p>nothing   C. H0​: p>nothing Ha​: p≤nothing   D. H0​: p=nothing Ha​: p≠nothing   E. H0​: pnothing.   D. The rejection region is z>nothing. ​(c) Find the standardized test statistic z.   z=nothing ​(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
54​%
of college students work​ year-round. In a random sample of
600
college​ students,
324
say they work​ year-round. At
α=0.10​,
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.
nothing​%
of college students work​ year-round.
 
B.
At most
nothing​%
of college students work​ year-round.
 
C.
The percentage of college students who work​ year-round is not
nothing​%.
 
D.
At least
nothing​%
of college students work​ year-round.
Let p be the population proportion of​ successes, where a success is a college student who works​ year-round. 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≠nothing
Ha​:
p=nothing
 
B.
H0​:
p≤nothing
Ha​:
p>nothing
 
C.
H0​:
p>nothing
Ha​:
p≤nothing
 
D.
H0​:
p=nothing
Ha​:
p≠nothing
 
E.
H0​:
p<nothing
Ha​:
p≥nothing
 
F.
H0​:
p≥nothing
Ha​:
p<nothing
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
Identify the critical​ value(s) for this test.
 
z0=nothing
​(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
nothing<z<nothing.
 
B.
The rejection region is
z<nothing.
 
C.
The rejection regions are
z<nothing
and
z>nothing.
 
D.
The rejection region is
z>nothing.
​(c) Find the standardized test statistic z.
 
z=nothing
​(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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

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