Suppose you know that the distribution of sample proportions of nonresidents in

Question

Suppose you know that the distribution of sample proportions of nonresidents in samples of 200 students is normal with a mean of

0.46 and a standard deviation of 0.05. Suppose you select a random sample of 200 students and find that the proportion of nonresident students in the sample is 0.43

a. How many standard deviations is the sample proportion from the mean of the distribution of sample proportions?(Round to the nearest tenth as needed.)

b. What is the probability that a second sample selected would have a proportion less than

0.43? (Round to four decimal places as needed.)

Explanation / Answer

a) sample prop = 0.43

SD = 0.05

z = (0.43 - 0.46)/0.05 = - 0.6 Standard deviations

b) P(p < 0.43)

P(z < -0.6) = 0.2743

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