14) (d) Compute P,-2Compute the corresponding sample distribution value. (Test the difference p, - P,, Do not use rounded values. Round yourfinal 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 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.O At the a = 0.05 level, we fail to 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 twobinomial experiments differ.O Reject the null hypothesis, there is insufficient evidence that the proportion of the probabilities of success for the twobinomial experiments differ.O Fail to reject the null hypothesis, there is insufficient evidence that the probabilities of success for the two binomialexperiments differ.O Fail to reject the null hypothesis, there is sufficient evidence that the proportion of the probabilities of success for thetwo binomial experiments differ. MY NOTESASK YOUR TEACHERPRACTICE ANOTHERFor one binomial experiment, n, = 75 binomial trials produced r, = 30 successes. For a second independent binomial experiment,n, = 100 binomial trials produced r, = 50 successes. At the 5% level of significance, test the claim that the probabilities of success%3Dfor the two binomial experiments differ.F 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. The number of trials is sufficiently large.O The standard normal. We assume the population distributions are approximately normal.O The Student's t. We assume the population distributions are approximately normal.O The standard normal. The number of trials is sufficiently large.(c) State the hypotheses.O H,: P, < P, H, P. = P2O H,: P, = P, H,: P, P2O H, P, = P,1 H, P, P2

Name: 14) (d) Compute P,-2Compute the corresponding sample distribution valu
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Description: 14) (d) Compute P,-2Compute the corresponding sample distribution value. (Test the difference p, - P,, Do not use rounded values. Round yourfinal answer to two decimal places.)(e) Find the P-value of the sample test statistic. (Round your answer to f

a) Denote p1, p2 as the true population proportions of 1st and 2nd binomial experiments,…

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For one binomial experiment, n, = 75 binomial trials produced r, = 30 successes. For a second independent binomial experiment, = 100 binomial trials produced r, = 50 successes. At the 5% level of significance, test the daim that the probabilities of success for the two binomial experiments differ. A 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. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. (c) State the hypotheses. O H,: P, < Pi H, P, = P2 O H,i P, = P,i H, P. P2 O H,: P, P, H, P, < P, O H,i P, = P, H, P, > P,