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. Age of Purchaser Frequency 18–34 36 35–64 130 65 and over 34 Calculate the test statistic. (Round your answer to two decimal places.) ?2 =  Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value =  What can you conclude? The data     strong evidence to conclude that one or more of the three age groups buys a disproportionate share of lottery tickets.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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.
Age of Purchaser Frequency
18–34 36
35–64 130
65 and over 34
Calculate the test statistic. (Round your answer to two decimal places.)
?2 = 
Use technology to calculate the P-value. (Round your answer to four decimal places.)
P-value = 
What can you conclude?
The data     strong evidence to conclude that one or more of the three age groups buys a disproportionate share of lottery tickets.
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