Historically, about 59% of the population of a certain country believed that the planet's temperature was rising ("global warming"). A March 2010 poll wanted to determine whether this proportion had changed. The poll interviewed 1000 adults in the population, and 544 said they believed that global warming was real. (Assume these 1000 adults represented a simple random sample.) Complete parts a through c below. a. What percentage in the sample believed global warming was real in 2010? (Round to one decimal place as needed.) Is this more or less than the historical 59%? O less O more b. Test the hypothesis that the proportion of the population who believe global warming is real has changed. Use a significance level of 0.05. What are the null and alternative hypotheses? O A. Ho: p= 0.59 Ha:p*0.59 OB. Ho: p>0.59 Ha:p<0.59 OC. Ho: p=0.59 Ha:p>0.59 OD. Hn: p#0.59 Haip0.59 OE. Hg:p<0.59 Ha p>0.59 Determine the z-test statistic, using the value for p from part a. z= (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) Do you reject or not reject the null hypothesis? O Reject Hg- O Do not reject Ho- c. Choose the correct interpretation. O A. In 2010, the percentage of the population who believe global warming is real is significantly different from 59%. OB. In 2010, the percentage of the population who believe global warming is real has not changed from the historical level of 59%.

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Historically, about 59% of the population of a certain country believed that the planet's temperature was rising ("global warming"). A March 2010 poll wanted to determine whether this proportion had changed. The poll interviewed 1000 adults in the population, and 544 said they believed that global warming was real.
(Assume these 1000 adults represented a simple random sample.) Complete parts a through c below.
a. What percentage in the sample believed global warming was real in 2010?
p=%
(Round to one decimal place as needed.)
Is this more or less than the historical 59%?
O less
more
b. Test the hypothesis that the proportion of the population who believe global warming is real has changed. Use a significance level of 0.05. What are the null and alternative hypotheses?
ОА. Но: р3D0.59
Ha: p#0.59
О В. Но: р> 0.59
На:р<0.59
ОС. Но: р3D0.59
На:р> 0.59
OD. Ho: p#0.59
Ha:p= 0.59
ОЕ. Но: р<0.59
Ha: p> 0.59
Determine the z-test statistic, using the value for p from part a.
(Round to two decimal places as needed.)
Find the p-value.
p-value =
(Round to three decimal places as needed.)
Do you reject or not reject the null hypothesis?
O Reject Ho.
O Do not reject Ho.
c. Choose the correct interpretation.
O A. In 2010, the percentage of the population who believe global warming is real is significantly different from 59%.
O B. In 2010, the percentage of the population who believe global warming is real has not changed from the historical level of 59%.
Transcribed Image Text:Historically, about 59% of the population of a certain country believed that the planet's temperature was rising ("global warming"). A March 2010 poll wanted to determine whether this proportion had changed. The poll interviewed 1000 adults in the population, and 544 said they believed that global warming was real. (Assume these 1000 adults represented a simple random sample.) Complete parts a through c below. a. What percentage in the sample believed global warming was real in 2010? p=% (Round to one decimal place as needed.) Is this more or less than the historical 59%? O less more b. Test the hypothesis that the proportion of the population who believe global warming is real has changed. Use a significance level of 0.05. What are the null and alternative hypotheses? ОА. Но: р3D0.59 Ha: p#0.59 О В. Но: р> 0.59 На:р<0.59 ОС. Но: р3D0.59 На:р> 0.59 OD. Ho: p#0.59 Ha:p= 0.59 ОЕ. Но: р<0.59 Ha: p> 0.59 Determine the z-test statistic, using the value for p from part a. (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) Do you reject or not reject the null hypothesis? O Reject Ho. O Do not reject Ho. c. Choose the correct interpretation. O A. In 2010, the percentage of the population who believe global warming is real is significantly different from 59%. O B. In 2010, the percentage of the population who believe global warming is real has not changed from the historical level of 59%.
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