7.4(6c)

An education researcher claims that at most

8%

of working college students are employed as teachers or teaching assistants. In a random sample of

400

working college students,

10%

are employed as teachers or teaching assistants. At

=0.05,

is there enough evidence to reject the researcher's claim? conclude parts (a) through (e) below.

Question content area bottom

Part 1

(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 conclude your choice.

(input integer or a decimal. Do not round.)

A.

The percentage of working college students who are employed as teachers or teaching assistants is not

enter your response here%.

B.

enter your response here%

of working college students are employed as teachers or teaching assistants.

C.

More than

enter your response here%

of working college students are employed as teachers or teaching assistants.

D.

At most

88%

of working college students are employed as teachers or teaching assistants.

Your answer is correct.

Part 2

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=enter your response here

Ha:

penter your response here

B.

H0:

p0.080.08

Ha:

p>0.080.08

Your answer is correct.

C.

H0:

penter your response here

Ha:

p

D.

H0:

p>enter your response here

Ha:

penter your response here

E.

H0:

penter your response here

Ha:

p=enter your response here

F.

H0:

p

Ha:

penter your response here

Part 3

(b) Find the critical value(s) and identify the rejection region(s).

Identify the critical value(s) for this test.

z0=enter your response here

(Round to two decimal places as needed. Use a comma to separate answers as needed.)