A researcher believes at 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 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 an only child. Let X be the

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A researcher believes at 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 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 an only child. Let X be the proportion of people in the sample with an IQ score above 100. (a) find the mean of C (b) find the standard deviation of X (c) compute the approximation for P(x >0.49) , which is the probability that there will be 49% or more with the IQ scores over 100 in the sample. Round your answer to four decimal places. * greater than sign, is supposed to be greater than or equal to sign*
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