7.4(4c)

A medical researcher says that less than

79%

of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of

500

adults in that country,

77%

think that healthy children should be required to be vaccinated. At

=0.05,

is there enough evidence to support the researcher's claim? Complete 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 end your choice.

(Type an integer or a decimal. Do not round.)

A.

More than

enter your response here%

of adults in the country think that healthy children should be required to be vaccinated.

B.

Less than

7979%

of adults in the country think that healthy children should be required to be vaccinated.

Your answer is correct.

C.

The percentage of adults in the country who think that healthy children should be required to be vaccinated is not

enter your response here%.

D.

enter your response here%

of adults in the country think that healthy children should be required to be vaccinated.

Part 2

Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. State

H0

and

Ha.

Select the correct choice below and fill in the answer boxes to conclude your choice.

(Round to two decimal places as needed.)

A.

H0:

p>enter your response here

Ha:

penter your response here

B.

H0:

p0.790.79

Ha:

p<0.790.79

Your answer is correct.

C.

H0:

p

Ha:

penter your response here

D.

H0:

penter your response here

Ha:

p>enter your response here

E.

H0:

penter your response here

Ha:

p=enter your response here

F.

H0:

p=enter your response here

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.)