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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Normal Approximation
According to the May 16,2017 report by Pew Research, 45% of US adults say solar energy is very effective in minimizing air pollution. A
sample of 160 U.S adults are surveyed. Letp be the sample proportion of Americans who believe solar energy is very effective in
mìnimizing air pollution.
1. What is the population proportion? 0.45
(decimal form)
2. What is the sample size?
160
3. Can the normal approximation be used with this distribution? Yes, the sample distribution meets the "rule of thumb
4. What is the mean of the sampling proportion? 72
5. What is the standard deviation of the sampling proportion?
(Round to 4th decimal place)
6. What is the probability that no more than 76 U.S adults of the 160 surveyed believe solar energy is very effective in minimizing air
pollution?
What is p?
(decimal form)
What is the z-score?
(Round to the hundredths place)
What is the probability that no more than 76 U.S. adults of the 160 surveyed believe solar energy is very effective in minimizing
air pollution?
(decimal form)
Transcribed Image Text:Normal Approximation According to the May 16,2017 report by Pew Research, 45% of US adults say solar energy is very effective in minimizing air pollution. A sample of 160 U.S adults are surveyed. Letp be the sample proportion of Americans who believe solar energy is very effective in mìnimizing air pollution. 1. What is the population proportion? 0.45 (decimal form) 2. What is the sample size? 160 3. Can the normal approximation be used with this distribution? Yes, the sample distribution meets the "rule of thumb 4. What is the mean of the sampling proportion? 72 5. What is the standard deviation of the sampling proportion? (Round to 4th decimal place) 6. What is the probability that no more than 76 U.S adults of the 160 surveyed believe solar energy is very effective in minimizing air pollution? What is p? (decimal form) What is the z-score? (Round to the hundredths place) What is the probability that no more than 76 U.S. adults of the 160 surveyed believe solar energy is very effective in minimizing air pollution? (decimal form)
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