Chapter 12.1, Problem 3E

In 2014, the University of Houston carried out a study for the Texas Lottery Commission (“Demographic Survey of Texas Lottery Players”) that gives the age distribution for a representative sample of 375 Texas Lottery players.

Using data from the U.S. Census Bureau (census.gov) for 2014, the age distribution of adults in Texas was 14% between age 18 and 24, 20% between age 25 and 34, 19% between age 35 and 44, 18% between age 45 and 54, 14% between age 55 and 64, and 15% age 65 or older. Is it reasonable to conclude that one or more of the age groups buys a disproportionate share of Texas Lottery tickets? Use a chi-square goodness-of-fit test with α = 0.05.

(Hint: See Example 12.2.)