MATH 302 Week 5 Quiz -
Question and Answers
Question 1 1 / 1 point
A researcher would like to estimate the proportion of all children
that have been
... [Show More] diagnosed with Autism Spectrum Disorder (ASD)
in their county. They are using 97% confidence level and the
CDC national estimate that 1 in 68 ≈ 0.0147 children are
diagnosed with ASD. What sample size should the researcher
use to get a margin of error to be within 1.5%? Round up to the
nearest integer, do not include decimals. Answer
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Z-Critical Value = NORM.S.INV(.985) = 2.17009
n =
.0147∗.9853∗2.170092.0152{"version":"1.1","math":"\displaystyle
\frac{.0147*.9853*2.17009^2}{.015^2} "}
Question 2 1 / 1 point
The population standard deviation for the height of college
basketball players is 2.9 inches. If we want to estimate a 99%
confidence interval for the population mean height of these
players with a 0.45 margin of error, how many randomly
selected players must be surveyed? (Round up your answer to
nearest whole number, do not include any decimals) Answer:
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Z-Critical Value = NORM.SINV(.995) = 2.575
n =
2.92∗2.5752.452{"version":"1.1","math":"\displaystyle
\frac{2.9^2*2.575^2}{.45^2}"}
Question 3 1 / 1 point
There is no prior information about the proportion of Americans
who support gun control in 2019. If we want to estimate 93%
confidence interval for the true proportion of Americans who
support gun control in 2019 with a 0.18 margin of error, how
many randomly selected Americans must be surveyed? Answer:
(Round up your answer to nearest whole number, do not include
any decimals)
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Z-Critical Value = NORM.S.INV(.965) = 1.811911
n =
.5∗.5∗1.8119112.182{"version":"1.1","math":"\displaystyle
\frac{.5*.5*1.811911^2}{.18^2}"}
Question 4 1 / 1 point
The population standard deviation for the height of college
basketball players is 2.4 inches. If we want to estimate 97%
confidence interval for the population mean height of these
players with a 0.35 margin of error, how many randomly [Show Less]