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 induded random samples of 1128 adults from Country A, 1026 adults from Country B, 1008 adults from Country C, and 1061 adults from Country D. At a=0.01, can you reject the cdaim that 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 80- power plants in their country? Assume the random samples are independent. 100- 60- 40- 20- I Country A 50% Country B 46% O Country C 45% O Country D 39% Find the standardized test statistic. z= 2.76 (Round to two decimal places as needed.) Use technology to calculate the P-value. P-value = 0.0028 (Round to four decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O Fail to reject H, because the P-value is greater than the significance level a. O Fail to reject H, because the P-value is less than the significance level a. Reject H, because the P-value is less than the significance level a. O Reject Ho because the P-value is greater than the significance level a. Can you support the original claim? Choose the correct answer below. O A. No, at the 1% significance level, there is insufficient evidence to support the claim. O B. Yes, at the 1% significance level, there is insufficient evidence to reject the claim. OC. Yes, at the 1% significance level, there is sufficient evidence to support the claim. O D. No, at the 1% significance level, there is sufficient evidence to reject the claim.

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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Question
100%
Can you support the original claim? Choose the correct answer below.
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 induded random
samples of 1128 adults from Country A, 1026 adults from Country B, 1008 adults from Country C, and 1061 adults from Country D. At a = 0.01, can you reject the daim that 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 80-
power plants in their country? Assume the random samples are independent.
100-
60-
40-
20-
0-
Country A 50%
ICountry B 46%
O Country C 45%
O Country D 39%
Find the standardized test statistic.
z= 2.76 (Round to two decimal places as needed.)
Use technology to calculate the P-value.
P-value = 0.0028 (Round to four decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
Fail to reject Ho because the P-value is greater than the significance level a.
Fail to reject H, because the P-value is less than the significance level a.
O Reject Ho because the P-value is less than the significance level a.
O Reject
because the P-value is greater than the significance level a.
Can you support the original claim? Choose the correct answer below.
O A. No, at the 1% significance level, there is insufficient evidence to support the claim.
O B. Yes, at the 1% significance level, there is insufficient evidence to reject the claim.
OC. Yes, at the 1% significance level, there is sufficient evidence to support the claim.
O D. No, at the 1% 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 induded random samples of 1128 adults from Country A, 1026 adults from Country B, 1008 adults from Country C, and 1061 adults from Country D. At a = 0.01, can you reject the daim that 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 80- power plants in their country? Assume the random samples are independent. 100- 60- 40- 20- 0- Country A 50% ICountry B 46% O Country C 45% O Country D 39% Find the standardized test statistic. z= 2.76 (Round to two decimal places as needed.) Use technology to calculate the P-value. P-value = 0.0028 (Round to four decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Fail to reject Ho because the P-value is greater than the significance level a. Fail to reject H, because the P-value is less than the significance level a. O Reject Ho because the P-value is less than the significance level a. O Reject because the P-value is greater than the significance level a. Can you support the original claim? Choose the correct answer below. O A. No, at the 1% significance level, there is insufficient evidence to support the claim. O B. Yes, at the 1% significance level, there is insufficient evidence to reject the claim. OC. Yes, at the 1% significance level, there is sufficient evidence to support the claim. O D. No, at the 1% significance level, there is sufficient evidence to reject the claim.
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