4. What is the mean of the sampling proportion? 5. What is the standard deviation of the sampling proportion? (Round to 4th decimal place)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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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. Let p be the sample proportion of Americans who believe solar
energy is very effective in minimizing 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?
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? 0.475
(decimal form)
What is the z-score? 0.64
(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? 0.7389
(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. Let p be the sample proportion of Americans who believe solar energy is very effective in minimizing 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? 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? 0.475 (decimal form) What is the z-score? 0.64 (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? 0.7389 (decimal form)
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