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 0H0 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 nothingless than

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Author:Amos Gilat
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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 0H0
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 than<nothing
 
D.
Upper H 0H0​:
pless than or equals≤nothing
Upper H Subscript aHa​:
pgreater than>nothing
 
E.
Upper H 0H0​:
pequals=nothing
Upper H Subscript aHa​:
pnot equals≠nothing
 
F.
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.
 
z 0z0equals=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
zless than<nothing.
 
B.
The rejection regions are
zless than<nothing
and
zgreater than>nothing.
 
C.
The rejection region is
zgreater than>nothing.
 
D.
The rejection region is
nothingless 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
the null hypothesis. There
 
is not
is
enough evidence to
 
reject
support
the​ center's claim.
 
Click to select your answer(s).
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