Quick Quiz: Assume that you plan to use a significance level of a = 0.05 to test the claim that p1 = p2, Use the given sample sizes and numbers of successes to find the pooled estimate p. Round your answer to the nearest thousandth. n₁ = 677 n2 = 3377 X1 = 172 X2 = 654 A) 0.163 B) 0.452 C) 0.204 D) 0.408 Requirements 1. We have proportions from two independent simple random samples. 2. For each of the two samples, the number of successes is at least 10 and the number of failures is at least 10. Test Statistic for Two Proportions For, Ho: p1=p2 (P1 – P2) - (P1 - P2) pq pq + √n1 n₂ where (assumed in the null hypothesis) P₁ P₂ = 0 Testing Two Proportions P-value: P-values are automatically provided by technology. Z - (Same as p₁ = P2.) Quick Quiz: Compute the test statistic used to test the null hypothesis that p₁=p2: In a vote on the Clean Water bill, 41% of the 205 Democrats voted for the bill while 40% of the 230 Republicans voted for it. a)0.212 b) 0.127 c) 0.233 d) 0.180

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Notes in reference to the question, thanks. Help appricicated.

The pooled sample proportion is given by:
p=
Test Statistic for Two Proportions
For, Ho: p1=p2
x₁ + x₂
n₁ + 1₂
Quick Quiz: Assume that you plan to use a significance level of a = 0.05 to test the
claim that p₁ = p2, Use the given sample sizes and numbers of successes to find the
pooled estimate p. Round your answer to the nearest thousandth.
X2 = 654
n₁ = 677 n2 = 3377
A) 0.163 B) 0.452
D) 0.408
Z
q=1-p
Requirements
1. We have proportions from two independent simple random samples.
2. For each of the two samples, the number of successes is at least 10 and the number of
failures is at least 10.
X1 = 172
C) 0.204
(P1 – P2) – (P₁ – P₂)
-
-
pa +
n1
pq
n₂
P₁ P₂ = 0
where (assumed in the null hypothesis)
Testing Two Proportions
P-value: P-values are automatically provided by technology.
(Same as p₁ = P2.)
Quick Quiz: Compute the test statistic used to test the null hypothesis that p₁ = p2: In
a vote on the Clean Water bill, 41% of the 205 Democrats voted for the bill while
40% of the 230 Republicans voted for it.
a)0.212 b) 0.127 c) 0.233 d) 0.180
Transcribed Image Text:The pooled sample proportion is given by: p= Test Statistic for Two Proportions For, Ho: p1=p2 x₁ + x₂ n₁ + 1₂ Quick Quiz: Assume that you plan to use a significance level of a = 0.05 to test the claim that p₁ = p2, Use the given sample sizes and numbers of successes to find the pooled estimate p. Round your answer to the nearest thousandth. X2 = 654 n₁ = 677 n2 = 3377 A) 0.163 B) 0.452 D) 0.408 Z q=1-p Requirements 1. We have proportions from two independent simple random samples. 2. For each of the two samples, the number of successes is at least 10 and the number of failures is at least 10. X1 = 172 C) 0.204 (P1 – P2) – (P₁ – P₂) - - pa + n1 pq n₂ P₁ P₂ = 0 where (assumed in the null hypothesis) Testing Two Proportions P-value: P-values are automatically provided by technology. (Same as p₁ = P2.) Quick Quiz: Compute the test statistic used to test the null hypothesis that p₁ = p2: In a vote on the Clean Water bill, 41% of the 205 Democrats voted for the bill while 40% of the 230 Republicans voted for it. a)0.212 b) 0.127 c) 0.233 d) 0.180
2. On page 2 of chapter 8 notes, what is the answer to the
first quick quiz for the test statistic?
0.180
0.233
0.127
0.212
Transcribed Image Text:2. On page 2 of chapter 8 notes, what is the answer to the first quick quiz for the test statistic? 0.180 0.233 0.127 0.212
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