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 1051 adults from Country A, 1120 adults from Country B, 1048 adults from Country C, and 1013 adults from Country D. At a =0.05, 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 nudear power plants in their country? Assume the random samples are independent. 100- 80- 60- 40- 20- I Country A 53% ICountry B 47% O Country C 46% O Country D 34% Identify the claim and state Ho and Ha The claim is "the proportion of adults in Country B who favor building new nuclear power plants in their country is different than the proportion of adults from Country C who favor building new nuclear power plants in their country." Let p, represent the population proportion for Country B and p2 represent the population proportion for Country C. State H, and H Choose the correct answer below. OC. Ho: P1 SP2 OA. Ho: P1 #P2 H: P, = P2 B. Ho: P1 = P2 Hi P, +P2 H,: P, P2 OF. Ho: P1> P2 H P, SP2 OE. Ho: P1

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
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 included random
samples of 1051 adults from Country A, 1120 adults from Country B, 1048 adults from Country C, and 1013 adults from Country D. At a=0.05, 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
I Country A 53%
I Country B 47%
O Country C 46 %
O Country D 34%
Identify the claim and state Ho and H.
The claim is "the proportion of adults in Country B who favor building new nuclear power plants in their country is different than the proportion of adults from Country C who favor building new nuclear power plants in their country."
Let p, represent the population proportion for Country B and p2 represent the population proportion for Country C. State Ho and Hg-
Choose the correct answer below.
OC. Ho: P1 SP2
H: P, > P2
OF. Ho: P1> P2
VB. Ho: P1 = P2
O A. Ho: P1 # P2
H: P, = P2
Hi P, *P2
O D. Ho: P1 2 P2
Hg: P, <P2
O E. Ho: P1 <P2
Ha: P, 2P2
H3: P, SP2
Find the standardized test statistic.
z= 0.47 (Round to two decimal places as needed.)
Use technology to calculate the P-value
P-value = (Round to three decimal places as needed.)
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 1051 adults from Country A, 1120 adults from Country B, 1048 adults from Country C, and 1013 adults from Country D. At a=0.05, 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 I Country A 53% I Country B 47% O Country C 46 % O Country D 34% Identify the claim and state Ho and H. The claim is "the proportion of adults in Country B who favor building new nuclear power plants in their country is different than the proportion of adults from Country C who favor building new nuclear power plants in their country." Let p, represent the population proportion for Country B and p2 represent the population proportion for Country C. State Ho and Hg- Choose the correct answer below. OC. Ho: P1 SP2 H: P, > P2 OF. Ho: P1> P2 VB. Ho: P1 = P2 O A. Ho: P1 # P2 H: P, = P2 Hi P, *P2 O D. Ho: P1 2 P2 Hg: P, <P2 O E. Ho: P1 <P2 Ha: P, 2P2 H3: P, SP2 Find the standardized test statistic. z= 0.47 (Round to two decimal places as needed.) Use technology to calculate the P-value P-value = (Round to three decimal places as needed.)
оооо
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 incuded random
samples of 1051 adults from Country A, 1120 adults from Country B, 1048 adults from Country C, and 1013 adults from Country D. At a=0.05, 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.
80어
09
ICountry A 53%
Country B 47%
O Country C 46%
O Country D 34%
7a La.n. -
Zd- Ld .n. -
Zd = 'd:"H
Zd <'d:"H
O D. Ho: P12 P2
O E. Ho: P1 <P2
dz ld:"H
ds'd:"H
Find the standardized test statistic.
z= 0.47 (Round to two decimal places as needed.)
Use technology to calculate the P-value
P-value 0.638 (Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
Fail to reject H, because the P-value is less than the significance level a.
O Fail to reject H, because the P-value is greater than the significance level a.
O Reject Ho because the P-value is greater than the significance level a.
O Reject Ho because the P-value is less than the significance level a.
Transcribed Image Text:оооо 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 incuded random samples of 1051 adults from Country A, 1120 adults from Country B, 1048 adults from Country C, and 1013 adults from Country D. At a=0.05, 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. 80어 09 ICountry A 53% Country B 47% O Country C 46% O Country D 34% 7a La.n. - Zd- Ld .n. - Zd = 'd:"H Zd <'d:"H O D. Ho: P12 P2 O E. Ho: P1 <P2 dz ld:"H ds'd:"H Find the standardized test statistic. z= 0.47 (Round to two decimal places as needed.) Use technology to calculate the P-value P-value 0.638 (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Fail to reject H, because the P-value is less than the significance level a. O Fail to reject H, because the P-value is greater than the significance level a. O Reject Ho because the P-value is greater than the significance level a. O Reject Ho because the P-value is less than the significance level a.
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