Question: The actual proportion of men who favor a certain tax
The actual proportion of men who favor a certain tax proposal is 0.40 and the corresponding proportion for women is 0.25; n1 = 500 men and n2 = 400 women are interviewed at random, and their individual responses are looked upon as the values of independent random variables having Bernoulli distributions with the respective parameters θ1 = 0.40 and θ2 = 0.25. What can we assert, according to Chebyshev’s theorem, with a probability of at least 0.9375 about the value we will get for Θ1 – Θ2, the difference between the two sample proportions of favorable responses? Use the result of Exercise 8.5.
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