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A researcher believes that 49 of people who grew up as the only child have...

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A researcher believes that 49 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 p be the proportion 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 0 50 b Find the standard deviation of p 0 025 c Compute an approximation for P20 49 which is the probability that there will be 49 or more people with IQ scores over 100 in the sample Round your answer to four decimal places 0 6554 X

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