Household expenditure. According to the Census and Statistics Department of Hong Kong, households spend the highest, i.e.,

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Household expenditure. According to the Census and Statistics Department of Hong Kong, households spend the highest, i.e., 34% of their income, on housing. Assume that this is indeed the true proportion, i.e., p = .345. Now consider a random sample of 400 Hong Kong households.

a. What is the probability that between 30% and 40% of the sampled households’ have housing as their highest spending category?

b. What is the probability that over 36% of the sampled households have housing as their highest spending category?

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