The 1999 article about the CA lottery in the paper San Luis

Last updated: 7/29/2022

The 1999 article about the CA lottery in the paper San Luis Obispo Tribune gave the following information on the age distribution of adults: 35% are between the ages of 18 and 34; 51% are between the ages of 35 and 64; and 14% are 65 and older. The article also gave information on the age distribution of those who purchase lottery tickets: People ages 18-34 purchase 36 tickets; people 35-64 purchase 130 tickets; and people 65 and older purchase 34 tickets. Suppose the data resulted from a random sample of 200 lottery ticket purchasers. Based on this sample, is it reasonable to conclude that the proportions stated in the article are accurate at 5% level of significance? Please be sure to give the value of the test statistic, P- value, and null rejection region.