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.

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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.

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
Transcribed Image Text: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
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