Suppose 60% of the registered voters in a country are Democrats. If a sample of 793 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 64%? Round your answer to four decimal places.
Solution
_{} = [p( 1 - p ) / n] = [(0.60 * 0.40) / 793 ] = 0.0174
P( > 0.64) = 1 - P( < 0.64)
= 1 - P(( - _{} ) / _{} < (0.64 - 0.60) / 0.0174)
= 1 - P(z < 2.30)
= 1 - 0.9893
= 0.0107
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