According to research 54 of households nationwide used natur

According to research, 54% of households nationwide used natural gas for heating during a certain year. Recently, a survey of 4500 randomly selected households showed that 2475 used natural gas. Give the null and alternative hypotheses to test whether the 54% national rate has changed. State the null and alternative hypotheses using words. State the null and alternative hypotheses using symbols. Choose the correct answer below.

Solution

The null and alternative hypothesis :

a) H0: THE PROPORTION OF HOUSEHOLDS THAT USE NATURAL GAS HAS NOT CHANGED AND IS 0.54

H1:THE PROPORTION OF HOUSEHOLDS THAT USE NATURAL GAS HAS CHANGED AND IS NOT 0.54

And a)H0: P= 0.54 AG H1: p not equals 0.54

here, based on sample prop we have to check wheather the popltn proportion has \"changed\" or not.
whatever be the value of sample proportion, we have to check wheather the popltn prop has changed or not.