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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
icon
Related questions
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.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax