1. What is the p value? 2. Compare the p value to problem statement specified si

Question

1. What is the p value?

2. Compare the p value to problem statement specified significance value and state weather Ho should or should not be rejected.

Situation The general manager of a major league baseball team believes that the distribution of the tickets sold varies based on the age of the ticket purchaser. Action: distribution of the tickets sold varies based on the age of the ticket purchaser. Using the chi-square goodness of fit test and either Excel or Minitab, determine whether age varies among ticket purchasers. Use a.01 level of significance and the following observed frequencies of ticket purchasers. Use the hypothesis testing procedure appropriate for this problem to help you make a decision Age of Purchaser Under 20 20 to under 30 30 to under 40 40 to under 50 50 to under 60 Over 60 Frequency 16 61 56 19

Explanation / Answer

Here

H0 : Ticket purchase people doesn't vary with age

Ha : Ticket purchase people vary with age and dependent of it.

Here Total number of people = 231

Here X2 = 45.23

Here dF = 6 -1 = 5 and alpha = 0.01

X2critical = 15.086

p - value = 1.3 x 10-8

so here X2 < X2critical so we shall reject the null hypothesis and can conclude that there is age varies with variation in ticket purchase.

Age of purchaser Observed Frequency (o) Expected Frequency (E) (O- E)^2/E < 20 16 38.5 13.15 20 < X < 30 44 38.5 0.79 30 < X < 40 61 38.5 13.15 40 < X < 50 56 38.5 7.95 50 < X < 60 35 38.5 0.32 X > 60 19 38.5 9.88 Sum 231 231 45.23

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