(a) Calculate the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (b) With a = 0.05, what is your hypothesis testing conclusion? O Do not reject Ho. There is insufficient evidence to conclude that p, - P, > 0. Reject Ho: There is insufficient evidence to conclude that p, - p, > 0. 1 Do not Reject Ho: There is sufficient evidence to conclude that p, - P, > 0. O Reject H. There is sufficient evidence to conclude that P, - P2 > > 0.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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Consider the hypothesis test.
Ho: P1 - P2 < 0
Hai P1- P2 > 0
The following results are for independent samples taken from the two populations.
Sample 1
Sample 2
= 200
= 300
n2
p, = 0.24
P2 = 0.14
(a) Calculate the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
(b) With a = 0.05, what is your hypothesis testing conclusion?
O Do not reject Ho: There is insufficient evidence to conclude that p, - p, > 0.
Reject Ho. There is insufficient evidence to conclude that p, - p, > 0.
Do not Reject H: There is sufficient evidence to conclude that p, - p, > 0.
O Reject Ho. There is sufficient evidence to conclude that p, - p, > 0.
Transcribed Image Text:Consider the hypothesis test. Ho: P1 - P2 < 0 Hai P1- P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 = 200 = 300 n2 p, = 0.24 P2 = 0.14 (a) Calculate the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (b) With a = 0.05, what is your hypothesis testing conclusion? O Do not reject Ho: There is insufficient evidence to conclude that p, - p, > 0. Reject Ho. There is insufficient evidence to conclude that p, - p, > 0. Do not Reject H: There is sufficient evidence to conclude that p, - p, > 0. O Reject Ho. There is sufficient evidence to conclude that p, - p, > 0.
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