10.4.12 To raise money for a new rectory, the members of a church hold a raffle.

Question

10.4.12 To raise money for a new rectory, the members of a church hold a raffle. A total of n tickets are sold (num bered 1 through n, out of which a total of fifty winners are to be drawn presumably at random. The following are the fifty lucky numbers. Set up a goodness-of-fit test that focuses on the randomness of the draw. Use the 0.05 level of significance. 108 110 216 44 89 68 50 13 63 84 64 69 92 12 46 78 113 104 105 9 115 582 20 19 96 28 72 81 32 75 3 49 86 94 61 35 31 56 17 100 102 114 76 106 112 80 59 73

Explanation / Answer

H0: The winners are unifromly distributed

H1: The winners are not uniform distributed

The frquency distribution is

Chsiquare contribution values are

Chisquare value = 3.28

Critical X^2: 11.07051
P-Value: 0.6569

Here P-value = 0.6569 > alpha 0.05, so we accept H0

Thus, we conclude that The winners are unifromly distributed

Class Interval LL UL f 2 20.9 9 21 39.9 5 40 58.9 6 59 77.9 10 78 96.9 9 97 115.9 11 Total = 50

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