Question
A humane society claims that less than 66% of households in a certain country own a pet. In a random sample of 600 households in
A humane society claims that less than 66% of households in a certain country own a pet. In a random sample of 600 households in thatcountry, 378 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.
More than
nothing
% of households in the country own a pet.
B.
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
support
reject
thesociety's claim.
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