Consider the hypothesis test below. Ho : P1 - P2 SO Ha: P1-P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n1 = 200 n2 = 300 P1 = 0.28 P2 = 0.19 %3D %3D Use pooled estimator of p. a. What is the value of the test statistic (to 2 decimals)? 2.64 b. What is the p-value (to 4 decimals)? 0.0041 c. With a = .05 , what is your hypothesis testing conclusion? Conclude the difference between the proportions is greater than 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Consider the hypothesis test below.
Ho : P1 - P2 S0
Ha : P1 - P2 > 0
The following results are for independent samples taken from the two populations.
Sample 1
Sample 2
200
n2 = 300
P1 = 0.28
P2 = 0.19
Use pooled estimator of p.
a. What is the value of the test statistic (to 2 decimals)?
2.64
b. What is the p-value (to 4 decimals)?
0.0041
c. With a = .05 , what is your hypothesis testing conclusion?
Conclude the difference between the proportions is greater than 0
Transcribed Image Text:Consider the hypothesis test below. Ho : P1 - P2 S0 Ha : P1 - P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 200 n2 = 300 P1 = 0.28 P2 = 0.19 Use pooled estimator of p. a. What is the value of the test statistic (to 2 decimals)? 2.64 b. What is the p-value (to 4 decimals)? 0.0041 c. With a = .05 , what is your hypothesis testing conclusion? Conclude the difference between the proportions is greater than 0
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