According to a research, 61.061.0% of households
According to a research, 61.0<br/><br/><br/>61.0% of households
nationwide used natural gas for heating during a year. Recently, a survey of 3 comma 200
3,200 randomly selected households showed that 62.0
62.0% used natural gas. Use a 0.05 significance level to test the claim that the 61.0
61.0% national rate has changed.
Formulate the null and alternative hypotheses. Choose the correct answer below.
A.
Upper H 0
H0: pequals
=0.61
0.61, Upper H Subscript a
Ha: pgreater than
>0.61
0.61
B.
Upper H 0
H0: pgreater than
>0.61
0.61, Upper H Subscript a
Ha: pless than
<0.61
0.61
C.
Upper H 0
H0: pequals
=0.61
0.61, Upper H Subscript a
Ha: pnot equals
≠0.61
0.61
D.
Upper H 0
H0: pnot equals
≠0.61
0.61, Upper H Subscript a
Ha: pequals
=0.61
0.61
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 sufficient evidence to support the claim that the percentage of households using natural gas has changed.
B.
There is not enough information to make a conclusion.
C.
There is sufficient evidence to support the claim that the percentage of households using natural gas has changed.
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