Tor one binomial expertment, n,75 binomial trials produced r-45 successes. For a second independent binomial expertment, n, 100 binomtal trials produced r 65 successes. At the 5% level of sonficance, test the clam that the probabtes of success for the heo binomal experiments dfer. (a) Compute the pooled probabeity of success for the bwo experiments. (Round your answer to three decmal places.) (b) Check Requirements: What distribution does the sample test statistic follow? Explain. O The standard normal. The number of trals is ssufficiently large. O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trals is suffidently large. O The standard normal. we assume the population distributions are approximately normal. (c) state the hypotheses O M: PPai H P Pa O H PPai H P Pa O H P Pai H P

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For one binomial expertment, n, = 75 binomlal trials produced r = 45 successes. For a second independent binomial expertment, n, - 100 binomial trials produced - 65 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomlal
experiments differ.
(a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.)
(b) Check Requirements: what distribution does the sample test statistic follow? Explain.
O The standard normal. The number of trials is sufficiently large.
O The Student's t. We assume the population distributions are approximately normal.
O The Student's t. The number of trials is sufficdently large.
O The standard normal. We assume the population distributions are approximately normal.
(c) state the hypotheses.
O Ho: Pi = Pai H P* Pa
O Ho: P. = Pai H P> Pa
O Hi P < Pzi H: P" Pa
O Hạ: P, " Pai H: P <Pa
(d) Compute p- P'2
Compute the corresponding sample distribution value. (Test the difference p,- Pa Do not use rounded values. Round your final answer to two decimal places.)
(e) Find the Pvalue of the sample test statistic. (Round your answer to four decimal places.)
(f) Conclude the test.
O At the a 0.05 level, we reject the null hypothess and conclude the data are statistically signficant
O At the 0.05 level, we fail to reject the null hypothests and condude the data are not statistically significant.
O At the = 0.05 level, we reject the null hypothesis and conclude the data are not statistically sgnificant.
O At the a = 0.05 level, we fal to reject the null hypothesis and condude the data are statistically significant
(a) Interpret the results.
O Pal to reject the nul hypothesis, there is sufticient evidence that the proportion of the probablities of success for the two binomlal expenments differ
O Fal to reject the null hypothesis, there is sufticient evidence that the probabiaties of success for the two binomal experments differ
O Reject the null hypothesis, there is sufticient evtdence that the proportion of the probablites of success for the two binomial espenments differ
O Reject the null hypothess, there is insufthcent evidence that the proportion of the probabies of success for the two binomial experiments differ.
us O i 8:28
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Transcribed Image Text:O SPS Programs O e Online Locker: Virtu E Untitled document - G kji - Google Search I Spanish For one binomial expertment, n, = 75 binomlal trials produced r = 45 successes. For a second independent binomial expertment, n, - 100 binomial trials produced - 65 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomlal experiments differ. (a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.) (b) Check Requirements: what distribution does the sample test statistic follow? Explain. O The standard normal. The number of trials is sufficiently large. O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trials is sufficdently large. O The standard normal. We assume the population distributions are approximately normal. (c) state the hypotheses. O Ho: Pi = Pai H P* Pa O Ho: P. = Pai H P> Pa O Hi P < Pzi H: P" Pa O Hạ: P, " Pai H: P <Pa (d) Compute p- P'2 Compute the corresponding sample distribution value. (Test the difference p,- Pa Do not use rounded values. Round your final answer to two decimal places.) (e) Find the Pvalue of the sample test statistic. (Round your answer to four decimal places.) (f) Conclude the test. O At the a 0.05 level, we reject the null hypothess and conclude the data are statistically signficant O At the 0.05 level, we fail to reject the null hypothests and condude the data are not statistically significant. O At the = 0.05 level, we reject the null hypothesis and conclude the data are not statistically sgnificant. O At the a = 0.05 level, we fal to reject the null hypothesis and condude the data are statistically significant (a) Interpret the results. O Pal to reject the nul hypothesis, there is sufticient evidence that the proportion of the probablities of success for the two binomlal expenments differ O Fal to reject the null hypothesis, there is sufticient evidence that the probabiaties of success for the two binomal experments differ O Reject the null hypothesis, there is sufticient evtdence that the proportion of the probablites of success for the two binomial espenments differ O Reject the null hypothess, there is insufthcent evidence that the proportion of the probabies of success for the two binomial experiments differ. us O i 8:28 esc -> @ # $
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