A researcher believes that 53% of people who grew up as the only child have an IQ score over 100. However, unknown to th

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A Researcher Believes That 53 Of People Who Grew Up As The Only Child Have An Iq Score Over 100 However Unknown To Th 1 (34.25 KiB) Viewed 17 times

A researcher believes that 53% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let of people in the sample with an IQ score above 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(≥ 0.53), which is the probability that there will be 53% or more people with IQ scores over 100 in the sample. Round your answer to four decimal places. be the proportion