Unlversity of the Sclencns in Philadelphia Statistics-ST-310 6. (20 points) John

Question

Unlversity of the Sclencns in Philadelphia Statistics-ST-310 6. (20 points) John M. Morton et al. examined gallbladder function before and after fundoplication a Page 5 of S surgery used to stop stomach contents from flowing back into the esophagus (reflux)in patients with gastroesophageal reflux disease. The authors measured gallbladder functionality by caleulating the gnllblndder ejection fraction (GBEF') before and after fundoplication. The goal of fundoplication is to increase GBEF, which is mensured as a percent. The data are shown in below. We wish to know If these data provide sufficient evidence to allow us to conclude that fundoplication increases G functioning Preop (%) Postop(%)(after treatment (a) (7 points) Conduct the test at the 05 level of signifcance. (NOTE: state parameters in H, and Ha). i. Ho: ii. Ho ii. test statistic: iv p-value: v. conclusion: (b) (5 points) Based on your conclusion in part (a), which type of error (type I, type II, or both) could have been made? Clearly explain the reasoning behind your answer. (e) (5 points) Form a 95% confidence interval for ( Postop-iPreop). (d) (3 points) From the confidence interval in part (c), what is your conclusion?

Explanation / Answer

H0: mu1 - mu2 = 0
H1: mu1 - mu2 < 0

test statistics, t = -0.9761

p-value = 0.192

Conclusion: Fail to reject the null hypothesis

b) there is possibility of type II error because there may be the case we are failed to reject the null hypothesis though actually it should have.

c)

d)

There are not significant evidence to conclude that fundoplication increase GBPF functioning

Before After dbar 22 63 -41 63 91 -28 96 59 37 9 37 -28 3 10 -7 Mean -13.4

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