According to a research,

51.0

%

of households nationwide used natural gas for heating during a year. Recently, a survey of

2 comma 900

randomly selected households showed that

52.0

%

used natural gas. Use a 0.05 significance level to test the claim that the

51.0

%

national rate has changed.

Formulate the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0

:

pequals

0.51,

Upper H Subscript a

:

pgreater than

0.51

B.

Upper H 0

:

pgreater than

0.51,

Upper H Subscript a

:

pless than

0.51

C.

Upper H 0

:

pnot equals

0.51,

Upper H Subscript a

:

pequals

0.51

D.

Upper H 0

:

pequals

0.51,

Upper H Subscript a

:

pnot equals

0.51

Find the test statistic.

zequals

nothing

(Round to one decimal place as needed.)

Find the P-value for the found test statistic.

P-valueequals

nothing

(Round to four decimal places as needed.)

Now make a conclusion. Choose the correct answer below.

A.

There is not enough information to make a conclusion.

B.

There is sufficient evidence to support the claim that the percentage of households using natural gas has changed.

C.

There is not sufficient evidence to support the claim that the percentage of households using natural gas has changed.

Click to select your answer(s).