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 indluded random samples of 1100 adults from Country A, 1012 adults from Country B, 1024 adults from Country C, and 1078 adults from Country D. At a = 0.09, can you reject the claim 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 49% I Country B 48% O Country C 45% O Country D 41% Identify the claim and state Ho 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 H, Choose the correct answer below. O A. Ho: P1 = P2 Ha: P, P2 O B. Ho: P1 2P2 H: P, P2 Ha: P, SP2 D. Ho: P1 SP2 H,: P,> P2 Ha P, 2 P2 Find the standardized test statistic. z= 1.85 (Round to two decimal places needed.) Use technology to calculate the P-value. P-value = 0.0322 (Round to four decimal places as needed.) Naride whether to reiect or fail to reiect the null hunntheeie Chonee the corrent anewar halnw

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Decide whether to reject or fail to reject the null hypothesis. 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 indluded random
samples of 1100 adults from Country A, 1012 adults from Country B, 1024 adults from Country C, and 1078 adults from Country D. At a = 0.09, can you reject the claim 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 49%
I Country B 48%
O Country C 45%
O Country D 41%
Identify the claim and state Ho and H
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 H,
Choose the correct answer below.
O A. Ho: P1 = P2
H: P, *P2
O B. Ho: P1 2 P2
H: P, <P2
OC. Ho: P1 #P2
H P, = P2
OF. Ho: P1 <P2
H: P, 2P2
D. Ho: P1 SP2
O E. Ho: P1> P2
H,: P1> P2
Ha: P, SP2
Find the standardized test statistic.
z= 1.85 (Round to two decimal places as needed.)
Use technology to calculate the P-value.
P-value = 0.0322 (Round to four decimal places as needed.)
Decide whether to reiect or fail to reiect the null hunothesis Choose the correct answer below
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 indluded random samples of 1100 adults from Country A, 1012 adults from Country B, 1024 adults from Country C, and 1078 adults from Country D. At a = 0.09, can you reject the claim 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 49% I Country B 48% O Country C 45% O Country D 41% Identify the claim and state Ho and H 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 H, Choose the correct answer below. O A. Ho: P1 = P2 H: P, *P2 O B. Ho: P1 2 P2 H: P, <P2 OC. Ho: P1 #P2 H P, = P2 OF. Ho: P1 <P2 H: P, 2P2 D. Ho: P1 SP2 O E. Ho: P1> P2 H,: P1> P2 Ha: P, SP2 Find the standardized test statistic. z= 1.85 (Round to two decimal places as needed.) Use technology to calculate the P-value. P-value = 0.0322 (Round to four decimal places as needed.) Decide whether to reiect or fail to reiect the null hunothesis 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 indluded random
samples of 1100 adults from Country A, 1012 adults from Country B, 1024 adults from Country C, and 1078 adults from Country D. At a = 0.09, can you reject the claim 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 49%
I Country B 48%
I Country C 45%
O Country D 41%
H P, *P2
H3: P, <P2
H: P, = P2
D. Ho: P1 SP2
Hg: P1 > P2
O E. Ho: P1 > P2
H: P, SP2
OF. Ho: P1 <P2
H: P, 2P2
Find the standardized test statistic.
z= 1.85 (Round to two decimal places as needed.)
Use technology to calculate the P-value.
P-value = 0.0322 (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 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.
O Reject H, because the P-value is less than the significance level a.
Fi
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 indluded random samples of 1100 adults from Country A, 1012 adults from Country B, 1024 adults from Country C, and 1078 adults from Country D. At a = 0.09, can you reject the claim 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 49% I Country B 48% I Country C 45% O Country D 41% H P, *P2 H3: P, <P2 H: P, = P2 D. Ho: P1 SP2 Hg: P1 > P2 O E. Ho: P1 > P2 H: P, SP2 OF. Ho: P1 <P2 H: P, 2P2 Find the standardized test statistic. z= 1.85 (Round to two decimal places as needed.) Use technology to calculate the P-value. P-value = 0.0322 (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 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. O Reject H, because the P-value is less than the significance level a. Fi
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