Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1052 adults from Country A 1101 adults from Country B, 1010 adults from Country C, and 1017 adults from Country D. At a= 0.09, can you support the claim that the proportion of adults in Country B who favor building new nuclear power plants in their country is different from the proportion of adults from Country C who favor building new nuclear power plants in their country? Assume the random samples are independent 100- 80 Country A 48% Country B 49% O Country C 46% O Country D 32% Identify the claim and state Hg and Hg- The claim is "the proportion of adults in Country B who favor building new nuclear power plants in their country is the proportion of adults from Country C who favor building new nuclear power plants in their country."
Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1052 adults from Country A 1101 adults from Country B, 1010 adults from Country C, and 1017 adults from Country D. At a= 0.09, can you support the claim that the proportion of adults in Country B who favor building new nuclear power plants in their country is different from the proportion of adults from Country C who favor building new nuclear power plants in their country? Assume the random samples are independent 100- 80 Country A 48% Country B 49% O Country C 46% O Country D 32% Identify the claim and state Hg and Hg- The claim is "the proportion of adults in Country B who favor building new nuclear power plants in their country is the proportion of adults from Country C who favor building new nuclear power plants in their country."
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 5E
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Transcribed Image Text:Identify the claim and state Hg and Ha.
The claim is "the proportion of adults in Country C who favor building new nuclear power plants in their country is greater than" the proportion of adults from Country D who favor building new nuclear power plants in their country."
Let p, represent the population proportion for Country C and p2 represent the population proportion for Country D. State Ho and Hg-
Choose the correct answer below.
O B. Họ: P1 P2
Hg: P1 = P2
XA Họ: P1 <P2
OC. Hg: P > P2
Ha: P1 Sp2
O E. Ho: Pt 2 p2
OF. Hg:P "P2
Hg: P1 SP2
Ha: P1 P2
Ha: Pt <P2
Ha: P: P2
Find the standardized test statistic.
z= 2.31 (Round to two decimal places as needed.)
Use technology to calculate the P-value.
P-value = 0.0106 (Round to four decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
* Reject Ho because the P-value is greater than the significance level a.
Fail to reject Hg because the P-value is less than the significance level a.
Reject Ho because the P-value is less than the significance level a.
Fail to reject Hg because the P-value is greater than the significance level a.
Can you support the original claim? Choose the corect answer below.
O A. Yes, at the 4% significance level, there is sufficient evidence to support the claim.
O B. Yes, at the 4% significance level, there is insufficient evidence to reject the claim.
OC. No, at the 4% significance level, there is insufficient evidence to support the claim.
OD. No, at the 4% significance level, there is sufficient evidence to reject the claim.
Transcribed Image Text:Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random
samples of 1052 adults from Country A, 1101 adults from Country B, 1010 adults from Country C. and 1017 adults from Country D. At a = 0.09, can you support the claim that the
proportion of adults in Country B who favor building new nuclear power plants in their country is different from the proportion of adults from Country C who favor building new nuclear
power plants in their country? Assume the random samples are independent.
100
80-
60
40
20
Country A 48%
ICountry B 49%
O Country C 46%
O Country D 32%
Identify the claim and state Hg and Ha-
The claim is "the proportion of adults in Country B who favor building new nuclear power plants in their country is
the proportion of adults from Country C who favor building new nuclear power plants in their country."
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