In a sample of n = 50 people who recently received speeding tickets, 32 were old

Question

In a sample of n = 50 people who recently received speeding tickets, 32 were older than 25 years, and the other 18 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use a = .05. (Use two decimal places.) X^2 critical value = X^2 = Reject the null hypothesis; the age distribution for people who receive speeding tickets is not significantly different from that of the population of drivers. Fail to reject the null hypothesis; the age distribution for people who receive speeding tickets is significantly different from that of the population of drivers. Reject the null hypothesis; the age distribution for people who receive speeding tickets is significantly different from that of the population of drivers. Fail to reject the null hypothesis; the age distribution for people who receive speeding tickets is not significantly different from that of the population of drivers.

Explanation / Answer

Oberved Table

Expected Table

Null HYpothesis : THe age distribution for people who receive speeding tickets is same from that of the population of drivers.

Alternative Hypothesis : THe age distribution for people who receive speeding tickets is significantly different from that of the population of drivers.

X2 = (18 -25)2 / 25 + ( 32- 25)2 /25 = 3.92

X2critical = 3.841 [ for dF = 1 and alpha = 0.05]

so X2> X2critical , so we can reject the null hypothesis.

so we can reject the null hypotheiss and can conclude that the age distribution for people who receive speeding ticket is significantly different from that of population of drivers. Option C is the correct one.

<25 year > 25 years observed 18 32

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