In 2004 Florida was hit by four major hurricanes. In 2005 a survey indicated that, in 2004, 48% of the households in Florida had no plans for escaping an approaching hurricane. Suppose that a recent random sample of 50 households was selected in Gainesville and that those in 29 of the households indicated that their household had a hurricane escape plan. a If the 2004 state percentages still apply to recent Gainesville households, use the Normal Approximation to Binomial Distribution applet to find the exact and approximate values of the probability that 29 or more of the households sampled have a hurricane escape plan.
b Refer to part (a). Is the normal approximation close to the exact binomial probability? Explain why.