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.
![Below is a graph of a normal distribution with mean µ = −1 and stan
from this distribution that is between −7 and 3.
0.2+
Shade the corresponding region under the standard normal curve below](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a2fdcd8-07cb-4e4a-9c02-19b1874383fc%2F0385dd1a-39c3-4aa3-b131-a4268e2d9505%2F17up61e_processed.jpeg&w=3840&q=75)
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