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According to a study in a previous year, 53.0 % of households nationwide used natural gas for heating during a year. Recently, a survey of 3,400...

According to a study in a previous​ year, 53.0% of households nationwide used natural gas for heating during a year.​ Recently, a survey of 3,400 randomly selected households showed that 54.0​% used natural gas. Use a 0.05 significance level to test the claim that the 53.0​% national rate has changed. Formulate the null and alternative hypotheses. Choose the correct answer below.

A.

​: p=0.53​: p<0.53

B.

​: p=0.53​: p not =0.53

C.

​: p=0.53​: p>0.53

D.

​: pnot =0.53: p=0.53

Z=

P=

Formulate the null and alternative hypothesis?

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