An article about the California lottery gave the followinginformation on the age distribution of adults in California: 35%are between 18 and 34 years old, 51% are between 35 and 64 yearsold, and 14% are 65 years old or older. The article also gaveinformation on the age distribution of those who purchase lotterytickets. The following table is consistent with the values given inthe article. Suppose that the data resulted from a random sample of200 lottery ticket purchasers. Based on these sample data, is itreasonable to conclude that one or more of these three age groupsbuys a disproportionate share of lottery tickets? Use a chi-squaregoodness-of-fit test with α = 0.05. (Round your answer totwo decimal places.)
| Age of Purchaser | Frequency |
| 18-34 | 40 |
| 35-64 | 113 |
| 65 and over | 47 |
χ2 =
P-value interval
p < 0.0010.001 ≤ p <0.01    0.01 ≤ p < 0.050.05 ≤p < 0.10p ≥ 0.10
The data  ---Select--- provide do not provide strongevidence to conclude that one or more of the three age groups buysa disproportionate share of lottery tickets.
