A researcher believes that 51% 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.) (c)Compute an approximation for , which is the probability that there will be 51% or more people with IQ scores over 100 in the sample. Round your answer to four decimal places.
A researcher believes that 51% 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.) (c)Compute an approximation for , which is the probability that there will be 51% or more people with IQ scores over 100 in the sample. Round your answer to four decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A researcher believes that 51% 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.)
(c)Compute an approximation for , which is the probability that there will be 51% or more people with IQ scores over 100 in the sample. Round your answer to four decimal places.
Transcribed Image Text:nswer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of p.
(b) Find the standard deviation of p.
0
(c) Compute an approximation for P(p ≥ 0.51), which is the probability that
scores over 100 in the sample. Round your answer to four decimal places.
0
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