According to Dan Lenard, an independent insurance agent in the Buffalo, N.Y. area, the following is a breakdown of the amount of life insurance purchased by males in the following age groups. He is interested in whether the age of the male and the amount of life insurance purchased are independent events. Conduct a test for independence.

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Age of Males None < $200,000 $200,000-$400,000 $401,001-$1,000,000 $1,000,001+ 20-29 40 15 40 0 5 30-39 35 5 20 20 10 40-49 20 0 30 0 30 50+ 40 30 15 15 10