According to a study in a previous year, 55.0% of households nationwide used natural gas for heating during a year. Recently, a survey of 3,300 randomly selected households showed that 56.0% used natural gas. Use a 0.05 significance level to test the claim that the 55.0% national rate has changed. Formulate the null and alternative hypotheses. Choose the correct answer below. O A. Ho: p=0.55 Ha: p#0.55 O B. Ho: p=0.55 H:p<0.55 OC. Ho: p#0.55 Ha: p=0.55 O D. Ho: p=0.55 H3: p>0.55 Find the test statistic. z= (Round to two decimal places as needed.) Find the P-value for the found test statistic. P-value = (Round to four decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence to support the claim that the percentage of households using natural gas has changed. O B. Reject Hn. There is sufficient evidence to support the claim that the percentage of households using natural gas has changed. Do not reject Ho. There is insufficient evidence to support the claim that the percentage of households using natural gas has changed. ntane of households using natural gas has changed.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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According to a study in a previous year, 55.0% of households nationwide used natural gas for heating during a year. Recently, a survey of 3,300 randomly selected households showed that 56.0% used natural
gas. Use a 0.05 significance level to test the claim that the 55.0% national rate has changed.
Formulate the null and alternative hypotheses. Choose the correct answer below.
.....
O A. Ho: p=0.55
O B. Ho: p=0.55
Ha:p<0.55
Ha:p#0.55
O C. Ho: p 0.55
Ha: p=0.55
O D. Ho: p=0.55
Ha:p>0.55
Find the test statistic.
(Round to two decimal places as needed.)
Find the P-value for the found test statistic.
P-value =
|(Round to four decimal places as needed.)
State the conclusion. Choose the correct answer below.
A. Do not reject Ho. There is sufficient evidence to support the claim that the percentage of households using natural gas has changed.
B. Reject Ho. There is sufficient evidence to support the claim that the percentage of households using natural gas has changed.
C. Do not reject Ho. There is insufficient evidence to support the claim that the percentage of households using natural gas has changed.
D. Reject Ho. There is insufficient evidence to support the claim that the percentage of households using natural gas has changed.
F2
esc
F1
@
!
2
Transcribed Image Text:According to a study in a previous year, 55.0% of households nationwide used natural gas for heating during a year. Recently, a survey of 3,300 randomly selected households showed that 56.0% used natural gas. Use a 0.05 significance level to test the claim that the 55.0% national rate has changed. Formulate the null and alternative hypotheses. Choose the correct answer below. ..... O A. Ho: p=0.55 O B. Ho: p=0.55 Ha:p<0.55 Ha:p#0.55 O C. Ho: p 0.55 Ha: p=0.55 O D. Ho: p=0.55 Ha:p>0.55 Find the test statistic. (Round to two decimal places as needed.) Find the P-value for the found test statistic. P-value = |(Round to four decimal places as needed.) State the conclusion. Choose the correct answer below. A. Do not reject Ho. There is sufficient evidence to support the claim that the percentage of households using natural gas has changed. B. Reject Ho. There is sufficient evidence to support the claim that the percentage of households using natural gas has changed. C. Do not reject Ho. There is insufficient evidence to support the claim that the percentage of households using natural gas has changed. D. Reject Ho. There is insufficient evidence to support the claim that the percentage of households using natural gas has changed. F2 esc F1 @ ! 2
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