A research center claims that more than 19% of employees in a certain country have changed jobs in the past three years. In a random sample of 280 people from that country, 70 have changed jobs in the past
A research center claims that more than 19% of employees in a certain country have changed jobs in the past three years. In a random sample of 280 people from that country, 70 have changed jobs in the past
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A research center claims that more than
19%
of employees in a certain country have changed jobs in the past
three
years. In a random sample of
280
people from that country,
70
have changed jobs in the past
three
years. At
α=0.10,
is there enough evidence to support the center'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.)
The percentage of employees in the country who have changed jobs in the past
three
years is not
nothing%.
nothing%
of employees in the country have changed jobs in the past
three
years.At most
nothing%
of employees in the country have changed jobs in the past
three
years.More than
nothing%
of employees in the country have changed jobs in the past
three
years.Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past
three
years. 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.)
H0:
p<nothing
Ha:
p≥nothing
H0:
p≤nothing
Ha:
p>nothing
H0:
p≠nothing
Ha:
p=nothing
H0:
p=nothing
Ha:
p≠nothing
H0:
p>nothing
Ha:
p≤nothing
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.)
The rejection region is
z>nothing.
The rejection region is
z<nothing.
The rejection regions are
z<nothing
and
z>nothing.
The rejection region is
nothing<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
▼
is
is not
▼
reject
support
Click to select your answer(s).
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