e binomial experiment,  n1 = 75 binomial trials produced  r1 = 30 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced  r2 = 50 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. b) Compute th

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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For one binomial experiment,  n1 = 75 binomial trials produced  r1 = 30
successes. For a second independent binomial experiment, n2 = 100
binomial trials produced  r2 = 50 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.

b) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.)

Compute  p̂1 − p̂2 = ______

Compute the corresponding sample distribution value. (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) = _____

 

c) Find the P-value of the sample test statistic. (Round your answer to four decimal places.) = ______

 

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