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For one binomial experiment, n, = 75 binomial trials produced r, = 45 successes. For a second independent binomial experiment, nz = 100 binomial trials produced r2 = 65 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. n USE SALT (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 Student's t. We assume the population distributions are approximately normal. O The standard normal. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. (c) State the hypotheses. O Ho: P1 = P2i H;: Pz P2

For one binomial experiment, n, = 75 binomial trials produced r, = 45 successes. For a second independent binomial experiment, nz = 100 binomial trials produced r2 = 65 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. n USE SALT (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 Student's t. We assume the population distributions are approximately normal. O The standard normal. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. (c) State the hypotheses. O Ho: P1 = P2i H;: Pz P2

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For one binomial experiment,n1 = 75 binomial trials produced r1 = 45 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced r2 = 65 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.

 

For one binomial experiment, n, = 75 binomial trials produced r, = 45 successes. For a second independent binomial experiment, n, = 100 binomial trials produced r, = 65 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. n USE SALT (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 Student's t. We assume the population distributions are approximately normal. O The standard normal. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. (c) State the hypotheses. O Ho: P1 = P2i H;: P1 < P2 O Ho: P1 = P2i H: P1 * P2 O Ho: P1 < P2i Hi: P1 = P2 O Ho: P1 = P2i H: P1 > P2 (d) Compute p1 - P2: P1 - P2 = Compute the corresponding sample distribution value. (Test the difference p, - p,. Do not use rounded values. Round your final answer to two decimal places.) (e) Find the P-value of the sample test statistic. (Round your answer to four decimal places.) (f) Conclude the test. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
Transcribed Image Text:For one binomial experiment, n, = 75 binomial trials produced r, = 45 successes. For a second independent binomial experiment, n, = 100 binomial trials produced r, = 65 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. n USE SALT (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 Student's t. We assume the population distributions are approximately normal. O The standard normal. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. (c) State the hypotheses. O Ho: P1 = P2i H;: P1 < P2 O Ho: P1 = P2i H: P1 * P2 O Ho: P1 < P2i Hi: P1 = P2 O Ho: P1 = P2i H: P1 > P2 (d) Compute p1 - P2: P1 - P2 = Compute the corresponding sample distribution value. (Test the difference p, - p,. Do not use rounded values. Round your final answer to two decimal places.) (e) Find the P-value of the sample test statistic. (Round your answer to four decimal places.) (f) Conclude the test. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
(g) Interpret the results. O Reject the null hypothesis, there is sufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ. O Fail to reject the null hypothesis, there is insufficient evidence that the probabilities of success for the two binomial experiments differ. O Fail to reject the null hypothesis, there is sufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ. O Reject the null hypothesis, there is insufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ.
Transcribed Image Text:(g) Interpret the results. O Reject the null hypothesis, there is sufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ. O Fail to reject the null hypothesis, there is insufficient evidence that the probabilities of success for the two binomial experiments differ. O Fail to reject the null hypothesis, there is sufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ. O Reject the null hypothesis, there is insufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ.
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