On-time shipping Your mail-order company advertises that it ships 90% of its ord

Question

On-time shipping Your mail-order company advertises that it ships 90% of its orders within three working days. You select an SRS of 100 of the 5000 orders received in the past week for an audit. The audit reveals that 86 of these orders were shipped on time. (a) What is the sample proportion of orders shipped on time? (b) If the company really ships 90% of its orders on time, what is the probability that the proportion in an SRS of 100 orders is as small as the proportion in your sample or smaller? (c) A critic says, "Aha! You claim 90%, but in your sample the on-time percent is lower than that. So the 90% claim is Explain in simple language why your probability wrong." calculation in (b) shows that the result of the sample does not refute the 90% claim. Students on diets A sample survey interviews an SRS of 267 college women. Suppose (as is roughly true) that 70% of college women have been on a diet within the past month What is probability that 75 more of the women n the ample have

Explanation / Answer

(a) Sample proportion = 86/100 = 0.86

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