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OpenStax, Introductory Business Statistics 2e §11.4 Test of Independence · Exercise 25 · Statistics · Chi-square tests

Test of Independence · Exercise 25

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 men in the following age groups. He is interested in whether the age of the man and the amount of life insurance purchased are independent events. Conduct a test for independence.

\begin{array}{|c|c|c|c|c|c|}\hline \text{Age of Men} & \text{None} & \text{< $200,000} & \text{}200,000–\\text{400,000} & \text{}401,001–\\text{1,000,000} & \text{$1,000,001+} \\ \hline \text{20–29} & \text{40} & \text{15} & \text{40} & \text{0} & \text{5} \\ \hline \text{30–39} & \text{35} & \text{5} & \text{20} & \text{20} & \text{10} \\ \hline \text{40–49} & \text{20} & \text{0} & \text{30} & \text{0} & \text{30} \\ \hline \text{50+} & \text{40} & \text{30} & \text{15} & \text{15} & \text{10} \\ \hline\end{array}

Its source prints no answer for this problem, so there's nothing to check against.

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OpenStax, Introductory Business Statistics 2e · §11.4 Test of Independence · Exercise 25

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