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...



















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<>



Ha​:

p≥nothing







C.



H0​:

p=nothing



Ha​:

p≠nothing







D.



H0​:

p≤nothing



Ha​:

p>nothing







E.



H0​:

p≥nothing



Ha​:

p<>







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<><>







B.


The rejection region is
z>nothing.







C.


The rejection region is
z<>







D.


The rejection regions are
z<>

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).

























Jun 08, 2022
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