An education researcher claims that 60​% of college students work​ year-round. In a random sample of 400 college​ students, 240 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. 6060​% of college students work​ year-round. Your answer is correct.   B. At most enter your response here​% of college students work​ year-round.   C. At least enter your response here​% of college students work​ year-round.   D. The percentage of college students who work​ year-round is not enter your response here​%. 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>enter your response here Ha​: p≤enter your response here   B. 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
icon
Related questions
Question
An education researcher claims that
60​%
of college students work​ year-round. In a random sample of
400
college​ students,
240
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.
6060​%
of college students work​ year-round.
Your answer is correct.
 
B.
At most
enter your response here​%
of college students work​ year-round.
 
C.
At least
enter your response here​%
of college students work​ year-round.
 
D.
The percentage of college students who work​ year-round is not
enter your response here​%.
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>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=0.600.60
Ha​:
p≠0.600.60
Your answer is correct.
 
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.)
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage