The actual proportion of families in a certain city who own, rather than rent, their home is 0.70. If 84 families in this city are interviewed at random and their responses to the question of whether they own their home are looked upon as values of independent random variables having identical Bernoulli distributions with the parameter θ = 0.70, with what probability can we assert that the value we obtain for the sample proportion Θ will fall between 0.64 and 0.76, using the result of Exercise 8.4 and
(a) Chebyshev’s theorem;
(b) The central limit theorem?