An education researcher claims that at most 3​% of working college students are employed as teachers or teaching assistants. In a random sample of 300 working college​ students, 5​% are employed as teachers or teaching assistants. At α=0.01​, 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 working college students are employed as teachers or teaching assistants.   B. The percentage of working college students who are employed as teachers or teaching assistants is not nothing​%.   C. At most nothing​% of working college students are employed as teachers or teaching assistants.   D. More than nothing​% of working college students are employed as teachers or teaching assistants. 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=nothing Ha​: p≠nothing   B. H0​: p≤nothing Ha​: p>nothing   C. H0​: p≥nothing Ha​: pnothing Ha​: p≤nothing   F. H0​: pnothing.   B. The rejection region is z>nothing.   C. The rejection region is nothing

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
300
working college​ students,
5​%
are employed as teachers or teaching assistants. At
α=0.01​,
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 working college students are employed as teachers or teaching assistants.
 
B.
The percentage of working college students who are employed as teachers or teaching assistants is not
nothing​%.
 
C.
At most
nothing​%
of working college students are employed as teachers or teaching assistants.
 
D.
More than
nothing​%
of working college students are employed as teachers or teaching assistants.
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=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 regions are
z<nothing
and
z>nothing.
 
B.
The rejection region is
z>nothing.
 
C.
The rejection region is
nothing<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.
 
 
Fail to reject
Reject
the null hypothesis. There
 
is not
is
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 2 steps with 2 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