A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04
.
If 384
are sampled, what is the probability that the sample proportion will be less than 0.06? Round your answer to four decimal places.
Solution
_{} = [p ( 1 - p ) / n] = [(0.04 * 0.96) / 384] = 0.01
P( < 0.06) =
= P[( - _{} ) / _{} < (0.06 - 0.04) / 0.01]
= P(z < 2)
= 0.9772
Probability = 0.9772
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