Standard deviation of the sample proportion

Reference no: EM131010316

1. Suppose that a particular candidate for public office is in fact favored by 48% of all registered voters in the district. A polling organization will take a random sample of 500 voters and will use p^, the sample proportion, to estimate p. What is the approximate probability that p^ will be greater than .5, causing the polling organization to incorrectly predict the result of the upcoming election?

2. A certain chromosome defect occurs in only 1 in 200 adult Caucasian males. A random sample of n = 100 adult Caucasian males is to be obtained.

a. What is the mean value of the sample proportion p^, and what is the standard deviation of the sample proportion?

b. Does p^ have approximately a normal distribution in this case? Explain.

c. What is the smallest value of n for which the sampling distribution of p^ is approximately normal?

Reference no: EM131010316

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