Find the standard deviation of p

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Problem: A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 50.5 % of them have an IQ score over 100. It is known that 50 % of the general population has an IQ score exceeding 100

Required:

Question 1: Find the mean of p where p is the proportion of people with IQ scores over 100 in a random sample of 400 people.

Question 2: Find the standard deviation of p

Question 3: Compute an approximation for P ( p≥ 0.505) which is the probability that there will be 50.5 % or more individuals with IQ scores over 100 in a random sample of 400

Round your answer to four decimal places.

Reference no: EM132424011

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