In a large city, 200 persons were selected at random, and each person was asked how many tickets he purchased that week in the state lottery. The results are given in Table 10.8. Suppose that among the seven persons who had purchased five or more tickets, three persons had purchased exactly five tickets, two persons had purchased six tickets, one person had purchased seven tickets, and one person had purchased 10 tickets. Test the hypothesis that these 200 observations form a random sample from a Poisson distribution.
Table 10.8 Data for Exercise 5
Number of tickets Number of
previously purchased persons
0………………………… 52
1………………………… 60
2………………………… 55
3………………………… 18
4………………………… 8
5 or more………………... 7