4. EOC-Practice problem #2 Aa Aa An article about the California lottery that ap

Question

4. EOC-Practice problem #2 Aa Aa An article about the California lottery that appeared in the San Luis Obispo Tribune (December 15, 1999) gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years or older. The article also gave information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article: Age of Purchaser 18-34 35-64 65 and over Frequency 18 65 17 Suppose that these data resulted from a random sample of 100 lottery ticket purchasers. You want to test whether one or more of these three age groups buys a disproportionate share of lottery tickets. H Hypothesis: What is the null hypothesis? Ho: p1 = .36, p2 = 1.30, p3 = .34 Ho: p1 = 0.18, p2 = 0.65, p3 = 0.17 O Ho: p1 = 0.35, p2 = 0.51, p3 = 0.14 O Ho: p1 = .33, p2 = .33, p3 = .33 earch

Explanation / Answer

H hypothesis: Ho: p1=0.35 ; p2=0.51 ; p3=0.14

M method: because the anwer to 4 questions are nominal(categorical) you will consider..........

C-check: thse counts are >=5 the chi square...........

C calculate: applying chi square goodness of fit test:

the test statistic .... is 12.743 ... degree of freedom are 2   ..... p vlaue is 0.0017

C- Communicate: becuase the p vlaue is less then the selected............. you should reject the null.............

there is convincing..........

observed Expected Chi square age Probability O E=total*p =(O-E)^2/E 18-34 0.35 18 35.00 8.26 35-64 0.51 65 51.00 3.84 65 and over 0.14 17 14.00 0.64 1 100 100 12.743

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