2. Gravetter/Wallnau Essentials-Chapter 15-End-of-chapter question 4 Aa Data fro

Question

2. Gravetter/Wallnau Essentials-Chapter 15-End-of-chapter question 4 Aa Data from the Motor Vehicle Department inden" that 80% or al licensed drivers are older than age 25 In a sample of n-50 people who recently received speeding tickets, 33 were older than 25 years, and the other 12 were age 25 or younger. is the age distribution for this sample significantly different from the distribution for the population of iicennsed drivers? Use a.05 Ch-Square DistriDotion Degrees of Freedom-16 x2-critical Xigital-1-? [to three decmal places) ? X2? (totwo decinal places) Conclusion: O Fail to rejedt the nul hypothess the dstribution of ages for people who recet speeding tickets is O Reject the null hypothess; the distribution of apes for people who receive speeding tickets is not signiticantly O Fail to rejest the null hypothesis; the dstribution of ages for people who receive speeding tickets Iis not O Reject the null hypothesis; the distribution of ages fog people wiho receive speeding tkkets is signinicantly significantly derent from that of the population of drivers different from that of the population of drivers significantlhy different from that of the population of drivers different from that of the population of drivers tra sampe of n = 50 people who recently received parking tickets, 36 were older than 2S years and the teher 14 were age 25 or younger. Is the age distrbution for Uhis sample significantly dfferent from the distribution for the population of licensed drivers? Use ?-.os. Xi-critical'??(to three deomal places) to two decimal plsces) Conclusiosn Fail to rejet es nul hypothesis, the distribution of ages for people who receive parking tickets is not O Reject the null hypothesis; the distribution of ages for people who receive parking tickets is not significantly O Fai to reject the nul hypothesis; the distribution of ages for peaple who receive parking tickets is significantly O Raject the null hypothesis; the dstribution of ages for people who recsive parking tickets is signfcanty significantly different from that of the population of licensed drivers affenent from that of the population of licered drivers dfferent from that of the population of icensed drivers diMerent from that of the popdation of licensed drivers.

Explanation / Answer

a) H0: The age distribution for the sample not significancly different fromt he distribution for the population of licensed drivers
H1: The age distribution for the sample significancly different fromt he distribution for the population of licensed drivers

Let the los be alpha = 0.05

From the given data

Num Categories: 2

Degrees of freedom: 1

Critical X^2: 3.841456

Test Statistic, X^2: 6.1250

P-Value: 0.0133

Here chisquare value > Chisquare critical value and P-value < alpha 0.05 so we reject H0

Thus we conclude that the age distribution for the sample significancly different fromt he distribution for the population of licensed drivers

Correct answer: option (D)

b)

From the given data

Num Categories: 2
Degrees of freedom: 1

Critical X^2: 3.841456

Test Statistic, X^2: 2.0000

P-Value: 0.1573

Correct answer: Option (A)

Observed Expected Age Freq (Oi) Prob Freq Ei (Oi-Ei)^2 /Ei >25 33 0.8 40 1.225 < = 25 17 0.2 10 4.9 Total: 50 50 6.125

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