The actual proportion of families in a certain city who own their home is 0.68. 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 parameter θ = 0.68, with what approximate probability can we assert that the value we obtain for the sample proportion will fall between 0.65 and 0.70, based on the central limit theorem?

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