A medical researcher says that less than 84% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in thatcountry, 82% think that healthy children should be required to be vaccinated. At =0.10 is there enough evidence to support theresearcher's claim?

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(a) Identify the claim and state H0 and H Subscript a

C.

Less than 84% of adults in the country think that healthy children should be required to be vaccinated.

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Let p be the population proportion ofsuccesses, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. State Upper H 0 Upper H

(Round to two decimal places asneeded.)

B.

Upper H 0

H0: pgreater than or equals

0.84

Upper H Subscript a

Ha: p less than

<

0.84

0.84

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(b) Find the criticalvalue(s) and identify the rejectionregion(s).

Identify the criticalvalue(s) for this test.

z 0 =

1.28

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Identify the rejectionregion(s). Select the correct choice below and fill in the answerbox(es)

(Round to two decimal places asneeded.)

C.

The rejection region is zless than

<

negative 1.28

1.28.

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.

(c) Find the standardized test statistic z.

z = 0.77

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(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

is not

Support

Fail to reject the null hypothesis.

There is not is not

enough evidence to support

theresearcher's claim.