Question: 9.1 Testing the Difference between two Proportions. I want you to help me solve this question. it's a 7 part step to the question of
9.1 Testing the Difference between two Proportions. I want you to help me solve this question. it's a 7 part step to the question of answering the 7 questions, the question of help me solve this shows a step by step on how to do it all 7 part, I'm going to attach a photo of the question right below it. I also have a view an example to help on solving the question I will attach it below as well.
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8:29 PM Sat May 18 . . . 53% AA mylab.pearson.com C + L.Louie_Math 119-9.1.pdf: MATH... Assignments Course Hero x P Do Homework - Homework 9.1 Homework Help - Q&A from Onli... Math 119-571 Spring 2024 aby leonard 05/18/24 11:29 AM Homework: Homework 9.1 Question 4, 9.1.19-T HW Score: 15.87%, 1.11 of 7 points Part 1 of 7 Points: 0 of 1 Save In a study of treatments for very painful "cluster" headaches, 143 patients were treated with oxygen and 153 other patients were given a placebo consisting of ordinary air. Among the Question list K 143 patients in the oxygen treatment group, 106 were free from headaches 15 minutes after treatment. Among the 153 patients given the placebo, 23 were free from headaches 15 minutes after treatment. Use a 0.05 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. Question 1 a. Test the claim using a hypothesis test. Question 2 the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 # P2 O B. Ho: P1 = P2 O C. Ho: P1 2 P2 O Question 3 H1: P1 = P2 H1: P1 > P2 H1: P1 # P2 O D. Ho: P1 = P2 O E. Ho: P1 = P2 OF. Ho: P1 SP2 H1: P1 py. If p1 > py is false, then pq p2 Since the symbol used in the alternative hypothesis Hy is >, this is a right-tailed test. ( Clea Help me solve this View an example Get more help 8:29PM Sat May 18 & mylab.pearson.com 2 & B3 P DoHomework - Homework 9.1 Math 119-571 Spring 2024 aby leonard 05/18/24 11:29 AM () 5.87%, 1.11 of 7 points Homework: Homework 9. i i ) @ i . View an example | All parts showing X onsisting of ordinary air. Among the Question list | 23 were free from headaches 15 In a study of treatments for very painful "cluster" headaches, 161 patients were treated with oxygen and 162 other patients were given a placebo consisting of ordinary air. Among the 161 patients in the oxygen treatment group, 127 were free from headaches 15 minutes after treatment. Among the o Question 1 162 patients given the placebo, 40 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. % Question 2 1at are the null and alternative % Since the symbol used in the alternative hypothesis Hq is >, this is a right-tailed test. While either technology or the formula given below can be used to find the test statistic, z, for this problem, use technology. In the formula, the difference O Question 3 in the population proportions is p4 = py =0 (assumed in the null hypothesis), x4 is the number of successes in the first sample, nq is the size of the 5 X1 o oXitxg o - first sample, pg = ; is the first sample proportion, p = P is the pooled sample proportion, =1 -p, and the corresponding notations for x3, nz, O Question 4 & and py apply to the second sample. P1=P2 )~ (P1~P: O Question 5 e w n Nz O Question 6 Identify the values of x4, nq, X2, and na. X1 =127, nq =161, X =40, np = 162 O Question 7 Enter these values into technology and perform the appropriate test. Read the value of the test statistic z from the technology output, rounding to two decimal places. z2=9.74 The P-value can be found using a standard normal table or with the use of technology. For the purposes of this exercise, read the P-value from the technology output from the test performed previously, rounding to three decimal places. P-value =0.000 Reject Hy if the P-value is less than the significance level of a=0.01. Fail to reject Hy if the P-value is greater than the significance level of =0.01. Use that result to make a conclusion in the context of the original claim. Print Help me solve this View an example Get more help 8:29 PM Sat May 18 . . . 53% AA mylab.pearson.com C + L.Louie_Math 119-9.1.pdf: MATH... Assignments Course Hero x P Do Homework - Homework 9.1 Homework Help - Q&A from Onli... Math 119-571 Spring 2024 aby leonard 05/18/24 11:29 AM Homework: Homework 9.1 Question 4, 9.1.19-T HW Score: 15.87%, 1.11 of 7 points Points: 0 of 1 Save View an example | All parts showing X consisting of ordinary air. Among the Question list 23 were free from headaches 15 In a study of treatments for very painful "cluster" headaches, 161 patients were treated with oxygen and 162 other patients were given a placebo consisting of ordinary air. Among the 161 patients in the oxygen treatment group, 127 were free from headaches 15 minutes after treatment. Among the Question 1 162 patients given the place re free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. Question 2 at are the null and alternative Reject Mo II the P-value is less than the significance level of u = U.VI. Fall to reject Mo II the F-value is greater than the significance level of u = U.UI. use that result to make a conclusion in the context of the original claim. O Question 3 b. Test the claim by constructing an appropriate confidence interval. The requirements for constructing a confidence interval estimate of the difference between two population proportions are the same as the requirements for testing a claim about two population proportions. These requirements were checked and sufficiently met in O Question 4 A one-tailed hypothesis test with significance level a = 0.01 requires a 98% confidence interval. While either technology or the inequality below can be used to find the confidence interval estimate of p1 - P2, for this problem, use technology. For O Question 5 p191 p292 the inequality, E is the margin of error given by E = Za/2 n1 n2 , Za/2 is the critical value separating an area of a/ 2 in the right tail of the O Question 6 standard normal distribution, x1, n1, P1, X2, n2, and p2 are as defined previously, q1 = 1 - p1, and q2 = 1 - P2. 3 + ( 2d - hd ) > ( zd - 1d ) > 3 - ( 2d - 'd ) O Question 7 Recall from part (a) that x1 = 127, n1 = 161, X2 = 40, and n2 = 162. Enter these values into technology and construct the 98% confidence interval for p1 - P2. Read the limits of the interval from the technology output, rounding to three decimal places. 0.433 p2. Use this information to make a conclusion about the confidence interval in the context of the problem. c) Based on the results, is the oxygen treatment effective? Review the conclusions made based on the hypothesis test and the confidence interval. Use this information to determine whether the oxygen treatment s effective Print Close Help me solve this View an example Get more help Clear all Check
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