Question

An article about the California lottery 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 old 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. Suppose that the data resulted from a random sample of 200 lottery ticket purchasers. Based on these sample data, is it reasonable to conclude that one or more of these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with = 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 35 35-64 65 and over P.value interval OP<0.001 O 0.001 Sp<0.01 O 0.01 Sp<0.05 O 0.05 P <0.10 OP 20.10 The data strong evidence to conclude that one or more of the three age groups buys a disproportionate share of lottery tickets

Answer 1

solution Here Ho - The 3 age groups buys a proportionate share of lottery tickets .. Hi The 3 age groups buys a disproportionate share of lottery tickets Age Oi Pi Ei (0;-E;) ZE 18-34 36 0.35 70 16.5143 35-64 120 0.5) 102 3.1765 658 above uu o.14 28 9.1429 200 100 200 28.8336 Oi-E) Test statistic X² - & 28.8336 Ei dif = n-1=34=2 , P-value = 0.0000 P-value caroos 0.001 Given x=0.05 here P-value ca, so, reject Ho. The provides data that a strong evidence to condude one or more of the 3 age groups buys a disproportionate share of lottery tickets