Advanced High-School Mathematics

416 CHAPTER 6 Inferential Statistics

needed for each of 200 people to obtain all of five different prizes

bears a resemblance with the Poisson distribution. Use the TI

code given in part (c) to generate your own data, and then use a

χ^2 test to compare the goodness of a Poisson fit. (Note that the

mean waiting time for five prizes isμ=^13712 .)

5. People often contend that divorce rates are, in some sense, related
   to one’s religious affiliation. Suppose that a survey resulted in
   the following data, exhibited in the following two-way contingency
   table:

Religious Affiliation

A B C None Totals

Marital History DivorcedNever Divorced^2178329015343290100292

Totals 99 122 49 122 392

Formulate an appropriate null hypothesis and test this at the 5%

level.

6. (Here’s a cute one!)^34 The two-way contingency table below com-
   pares the level of education of a sample of Kansas pig farmers with
   the sizes of their farms, measured in number of pigs. Formulate
   and test an appropriate null hypothesis at the 5% level.

Education Level

No College College Totals

Farm Size

<1,000 pigs

1,000–2,000 pigs

2,001–5,000 pigs

>5,000 pigs

42

27

22

27

53

42

20

29

95

69

42

56

Totals 118 144 262

(^34) Adapted fromStatistics, Ninth edition, James T. McClave and Terry Sinich, Prentice Hall,
2003, page 726, problem #13.26.