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 1004 adults from Country A, 1059 adults from Country B, 1102 adults from Country C, and 1025 adults from Country D. At a = 0.06, can you reject the claim that the 100- proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear 80- power plants in their country? Assume the random samples are independent. 60- 40- Identify the claim and state Ho and H₂. The claim is "the proportion of adults Country A who favor building new nuclear power plants in their country is Let p, represent the population proportion for Country A and p2 represent the population proportion for Country B. State Ho and H₂- Choose the correct answer below. OA. Ho: P₁ P₂ OB. Ho: P₁ P₂ H₂: P₁ SP₂ H₂: P₁ P2 OD. Ho: P₁ P₂ OE. Ho: P₁ SP₂ H₂: P₁ P₂ H₂: P₁

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 6E
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Question
100-
80-
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 1004 adults from Country A, 1059 adults from Country B, 1102 adults from Country C, and 1025 adults from Country D. At a = 0.06, can you reject the claim that the
proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear
power plants in their country? Assume the random samples are independent.
60-
40-
20-
Identify the claim and state H and Ha.
The claim is "the proportion of adults in Country A who favor building new nuclear power plants in their country is
Let p₁ represent the population proportion for Country A and p2 represent the population proportion for Country B. State Ho and Ha
Choose the correct answer below.
A. Ho: P₁ P2
B. Ho: P₁ P2
Ha: P₁ = P₂
Ha: P₁ P₂
D. Ho: P₁ P2
E. Ho: P₁ ≤P2
Ha: P₁ P2
Ha: P₁ P2
Find the standardized test statistic.
Z=
(Round to two decimal places as needed.)
Country A 53%
Country B 51%
Country C 44%
Country D 34%
the proportion of adults from Country B who favor building new nuclear power plants in their country."
C. Ho: P₁ = P2
Ha: P₁
P2
OF. Ho: P1 P2
Ha: P₁
P2
Transcribed Image Text:100- 80- 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 1004 adults from Country A, 1059 adults from Country B, 1102 adults from Country C, and 1025 adults from Country D. At a = 0.06, can you reject the claim that the proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear power plants in their country? Assume the random samples are independent. 60- 40- 20- Identify the claim and state H and Ha. The claim is "the proportion of adults in Country A who favor building new nuclear power plants in their country is Let p₁ represent the population proportion for Country A and p2 represent the population proportion for Country B. State Ho and Ha Choose the correct answer below. A. Ho: P₁ P2 B. Ho: P₁ P2 Ha: P₁ = P₂ Ha: P₁ P₂ D. Ho: P₁ P2 E. Ho: P₁ ≤P2 Ha: P₁ P2 Ha: P₁ P2 Find the standardized test statistic. Z= (Round to two decimal places as needed.) Country A 53% Country B 51% Country C 44% Country D 34% the proportion of adults from Country B who favor building new nuclear power plants in their country." C. Ho: P₁ = P2 Ha: P₁ P2 OF. Ho: P1 P2 Ha: P₁ P2
Find the standardized test statistic.
Z=
Use technology to calculate the P-value.
P-value =
(Round to three 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 Ho because the P-value is greater than the significance level a.
Reject Ho because the P-value is less than the significance level a.
Fail to reject Ho because the P-value is less than the significance level a.
Can you reject the original claim? Choose the correct answer below.
A. No, at the 6% significance level, there is insufficient evidence to reject the claim.
B. No, at the 6% significance level, there is sufficient evidence to reject the claim.
C. Yes, at the 6% significance level, there is sufficient evidence to reject the claim.
D. Yes, at the 6% significance level, there is insufficient evidence to reject the claim.
(Round to two decimal places as needed.)
Transcribed Image Text:Find the standardized test statistic. Z= Use technology to calculate the P-value. P-value = (Round to three 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 Ho because the P-value is greater than the significance level a. Reject Ho because the P-value is less than the significance level a. Fail to reject Ho because the P-value is less than the significance level a. Can you reject the original claim? Choose the correct answer below. A. No, at the 6% significance level, there is insufficient evidence to reject the claim. B. No, at the 6% significance level, there is sufficient evidence to reject the claim. C. Yes, at the 6% significance level, there is sufficient evidence to reject the claim. D. Yes, at the 6% significance level, there is insufficient evidence to reject the claim. (Round to two decimal places as needed.)
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