n education researcher claims that 57​% of college students work​ year-round. In a random sample of 600 college​ students, 342 say they work​ year-round. 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. At least nothing​% of college students work​ year-round.   B. At most nothing​% of college students work​ year-round.   C. The percentage of college students who work​ year-round is not nothing​%.   D. nothing​% of college students work​ year-round. 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≤nothing Ha​: p>nothing   B. H0​: p≠nothing Ha​: p=nothing   C. H0​: p>nothing Ha​: p≤nothing   D. H0​: p≥nothing Ha​: pnothing.   B. The rejection region is znothing.   D. The rejection region is nothing

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An education researcher claims that
57​%
of college students work​ year-round. In a random sample of
600
college​ students,
342
say they work​ year-round. 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.
At least
nothing​%
of college students work​ year-round.
 
B.
At most
nothing​%
of college students work​ year-round.
 
C.
The percentage of college students who work​ year-round is not
nothing​%.
 
D.
nothing​%
of college students work​ year-round.
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≤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 region is
z>nothing.
 
B.
The rejection region is
z<nothing.
 
C.
The rejection regions are
z<nothing
and
z>nothing.
 
D.
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
the null hypothesis. There
 
is not
is
enough evidence to
 
reject
support
the​ researcher's claim.
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