According to a study in a previous year, 57.0% of households nationwide used natural gas for heating during a year. Recently, a survey of 2,700...

According to a study in a previous year, 57.0% of households nationwide used natural gas for heating during a year. Recently, a survey of 2,700 randomly selected households showed that 58.0% used natural gas. Use a 0.05 significance level to test the claim that the 57.0% national rate has changed.

Formulate the null and alternative hypotheses.

Find the z-value.

Find the p-value