A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. 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. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. 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 Upper H 0 and Upper H Subscript aHa. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. Upper H 0H0: pgreater than>nothing Upper H Subscript aHa: pless than or equals≤nothing B. Upper H 0H0: pnot equals≠nothing Upper H Subscript aHa: pequals=nothing C. Upper H 0H0: pgreater than or equals≥nothing Upper H Subscript aHa: pless thannothing E. Upper H 0H0: pequals=nothing Upper H Subscript aHa: pnot equals≠nothing F. Upper H 0H0: pless thannothing. C. The rejection region is zgreater than>nothing. D. The rejection region is nothing less than
A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. 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. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. 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 Upper H 0 and Upper H Subscript aHa. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. Upper H 0H0: pgreater than>nothing Upper H Subscript aHa: pless than or equals≤nothing B. Upper H 0H0: pnot equals≠nothing Upper H Subscript aHa: pequals=nothing C. Upper H 0H0: pgreater than or equals≥nothing Upper H Subscript aHa: pless thannothing E. Upper H 0H0: pequals=nothing Upper H Subscript aHa: pnot equals≠nothing F. Upper H 0H0: pless thannothing. C. The rejection region is zgreater than>nothing. D. The rejection region is nothing less than
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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Question
A research center claims that more than
29%
of employees in a certain country have changed jobs in the past
three
years. In a random sample of
220
people from that country,
77
have changed jobs in the past
three
years. At
alphaαequals=0.10,
is there enough evidence to support the center's claim? Complete parts (a) through (e) below.(a) Identify the claim and state
Upper H 0H0
and
Upper H Subscript aHa.
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.)
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.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.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
Upper H 0
and
Upper H Subscript aHa.
Select the correct choice below and fill in the answer boxes to complete your choice.(Round to two decimal places as needed.)
Upper H 0H0:
pgreater than>nothing
Upper H Subscript aHa:
pless than or equals≤nothing
Upper H 0H0:
pnot equals≠nothing
Upper H Subscript aHa:
pequals=nothing
Upper H 0H0:
pgreater than or equals≥nothing
Upper H Subscript aHa:
pless than<nothing
Upper H 0H0:
pless than or equals≤nothing
Upper H Subscript aHa:
pgreater than>nothing
Upper H 0H0:
pequals=nothing
Upper H Subscript aHa:
pnot equals≠nothing
Upper H 0H0:
pless than<nothing
Upper H Subscript aHa:
pgreater than or equals≥nothing
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
z0equals=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
zless than<nothing.
The rejection regions are
zless than<nothing
and
zgreater than>nothing.
The rejection region is
zgreater than>nothing.
The rejection region is
nothing less than<zless than<nothing.
(c) Find the standardized test statistic z.
zequals=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 not
is
▼
reject
support
Click to select your answer(s).
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