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A humane society claims that less than 60% of households in a certain country own a pet. In a random sample of 600 households in

A humane society claims that less than 60% of households in a certain country own a pet. In a random sample of 600 households in thatcountry, 348 say they own a pet. At =0.01, is there enough evidence to support thesociety's claim? Complete parts(a) through(c) 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 notround.)

A.

nothing

% of households in the country own a pet.

B.

More than

nothing

% of households in the country own a pet.

C.

Less than

nothing

% of households in the country own a pet.

D.

The percentage households in the country that own a pet is not

nothing

%.

Let p be the population proportion ofsuccesses, where a success is a household in the country that owns a pet. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice.

(Round to two decimal places asneeded.)

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) Use technology to find theP-value.

Identify the standardized test statistic.

z=

nothing

(Round to two decimal places asneeded.)

Identify theP-value.

P=

nothing

(Round to three decimal places asneeded.)

(c) Decide whether to reject or fail to reject the null hypothesis and(d) interpret the decision in the context of the original claim.

Reject

Fail to reject

the null hypothesis. There

is not

is

enough evidence to

reject

support

thesociety's claim.

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