An education researcher claims that at most 4​% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college​ students, 6​% are employed as teachers or teaching assistants. At α=0.05​, 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. nothing​% of working college students are employed as teachers or teaching assistants.   B. More than nothing​% of working college students are employed as teachers or teaching assistants.   C. The percentage of working college students who are employed as teachers or teaching assistants is not nothing​%.   D. At most nothing​% of working college students are employed as teachers or teaching assistants. Let p be the population proportion of​ successes, where a success is a working college student who is employed as a teacher or teaching assistant. 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​: pnothing   E. H0​: p≥nothing Ha​: pnothing 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 nothingnothing.   C. The rejection region is znothing. ​(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 is not enough evidence to ▼   support reject the​ researcher's claim.   Click to select your answer(s).

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An education researcher claims that at most
4​%
of working college students are employed as teachers or teaching assistants. In a random sample of
600
working college​ students,
6​%
are employed as teachers or teaching assistants. At
α=0.05​,
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.
nothing​%
of working college students are employed as teachers or teaching assistants.
 
B.
More than
nothing​%
of working college students are employed as teachers or teaching assistants.
 
C.
The percentage of working college students who are employed as teachers or teaching assistants is not
nothing​%.
 
D.
At most
nothing​%
of working college students are employed as teachers or teaching assistants.
Let p be the population proportion of​ successes, where a success is a working college student who is employed as a teacher or teaching assistant. 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
nothing<z<nothing.
 
B.
The rejection region is
z>nothing.
 
C.
The rejection region is
z<nothing.
 
D.
The rejection regions are
z<nothing
and
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
is not
enough evidence to
 
support
reject
the​ researcher's claim.
 
Click to select your answer(s).
 
 
 
 
 

 

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