A researcher believes that 48% of people who grew up as the only child have an IQ
Question:
A researcher believes that 48% 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^ . (b)Find the standard deviation of p^ . (c)Compute an approximation for Pp0.48 , which is the probability that there will be 48% or more people with IQ scores over 100 in the sample. Round your answer to four decimal places. |
Understanding Business Statistics
ISBN: 978-1118145258
1st edition
Authors: Stacey Jones, Tim Bergquist, Ned Freed