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In: Statistics and Probability

2. Referring to the data set we used in Chapter 2 comparing servers, tips, and credit...

2. Referring to the data set we used in Chapter 2 comparing servers, tips, and credit card usage, we have the following two-way table showing the servers and whether or not the customer used a credit card to pay for their meal.

          A   B   C

Yes   21 15 15

No    39 50 17

a) Compute and interpret a 95% confidence interval for the proportion of bills paid with a credit card.

SE = 0.0373

b) Compute and interpret 90% confidence intervals for the proportion of bills for each server. A: SE = 0.0388, B: SE = 0.0393, C: SE = 0.0321

c) From the confidence intervals in part b) does it appear that Server B is responsible for 1/3 of the bills this week?

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