1.a)A study of tipping behaviors examined the relationship between the color of the shirt worm by the server and whether or not the customer left a tip.There were 418male customers in the study;40 of the 69who were served by a server wearing a red shirt left a tip.Of the 349who were served by a server wearing a different colored shirt,130left a tip.

Find the 95% confidence interval for the difference in proportions. Report at the point estimate margin of error: (Report both to two decimal places)

Point Estimate:

m.o.e.:

b) A sample of 40 runners will be used to compare two new routines for stretching. The runners will be randomly assigned to one of the routines which they will follow for two weeks. Each group will have 20 runners each. Satisfaction with the routines will be measured using a questionnaire at the end ofthe two-week period. For the first routine, nine runners said that they were satisfied or very satisfied. For the second routine, six runners said that they were satisfied or very satisfied.

Find the 95% confidence interval for the difference in proportions. Report at the point estimate margin of error: (Report both to two decimal places)

Point Estimate:

m.o.e.:

2.A sample of 40 runners will be used to compare two new routines for stretching. The runners will be randomly assigned to one of the routines which they will follow for two weeks. Each group will have 20 runners each. Satisfaction with the routines will be measured using a questionnaire at the end of the two-week period. For the first routine, nine runners said that they were satisfied or very satisfied. For the second routine, six runners said that they were satisfied or very satisfied.

What is the test statistic? (report to 2 decimal places)

3.Refer to question 2.What is the p-value? (report to 4 decimal places) (HINT: remember to take into account if it is a one sided or two sided test.)