using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: P₁ = P₂, α=0.10 Sample statistics: x₁ =94, n₁ = 161 and x₂ = 58, n₂ = 203 Can normal sampling distribution be used? No Yes Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P₁ P2 Ha: P1 = P2 OB. Ho: P₁ P₂ Ha: P₁ P2 OC. Ho: P₁ P2 Ha: P₁ P2 O D. Ho: P₁

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p₁ and p2 at the given level of significance a
using the given sample statistics. Assume the sample statistics are from independent random samples.
Claim:
Sample statistics:
Can a normal sampling distribution be used?
No
Yes
Identify the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: P₁ P2
Ha: P₁ = P2
B. Ho: P₁ = P2
Ha: P₁ P2
C. Ho: P₁ = P2
Ha: P₁
P2
P₁ = P₂, α = 0.10
x₁ = 94, n₁ = 161 and x₂ = 58, n₂ = 203
D. Ho: P₁ P2
Ha: P₁ = P₂2
O E. A normal sampling distribution cannot be used, so the claim cannot be tested.
Find the critical values. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The critical values are -
- Zo= and Z₁ =
(Round to two decimal places as needed.)
B. A normal sampling distribution cannot be used, so the claim cannot be tested.
Find the standardized test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. Z=
(Round to two decimal places as needed.)
Transcribed Image Text:Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p₁ and p2 at the given level of significance a using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: Sample statistics: Can a normal sampling distribution be used? No Yes Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: P₁ P2 Ha: P₁ = P2 B. Ho: P₁ = P2 Ha: P₁ P2 C. Ho: P₁ = P2 Ha: P₁ P2 P₁ = P₂, α = 0.10 x₁ = 94, n₁ = 161 and x₂ = 58, n₂ = 203 D. Ho: P₁ P2 Ha: P₁ = P₂2 O E. A normal sampling distribution cannot be used, so the claim cannot be tested. Find the critical values. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The critical values are - - Zo= and Z₁ = (Round to two decimal places as needed.) B. A normal sampling distribution cannot be used, so the claim cannot be tested. Find the standardized test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Z= (Round to two decimal places as needed.)
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