3. Can the normal approximation be used with this distribution? Yes, the population distribution is normally distributed. X 4. What is the mean of the sampling proportion? 0.68 5. What is the standard deviation of the sampling proportion? 0.0301 (Round to 4th decimal place) 6. What is the probability that no more than 156 U.S adults of the 240 surveyed believe solar energy is very effective in minimizing air pollution? What is p? 0.65 (decimal form) What is the z-score? 1 X (Round to the hundredths place)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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I am stuck on the three questions with the red x's beside them.

Normal Approximation
According to the May 16,2017 report by Pew Research, 68% of US adults say solar energy is
very effective in minimizing air pollution. A sample of 240 U.S adults are surveyed. Let > be the
sample proportion of Americans who believe solar energy is very effective in minimizing air
pollution.
1. What is the population proportion? 0.68
(decimal form)
2. What is the sample size? 240
3. Can the normal approximation be used with this distribution?
Yes, the population distribution is normally distributed. X
4. What is the mean of the sampling proportion? 0.68
5. What is the standard deviation of the sampling proportion? 0.0301
(Round to
4th decimal place)
6. What is the probability that no more than 156 U.S adults of the 240 surveyed believe solar
energy is very effective in minimizing air pollution?
What is ? 0.65
(decimal form)
What is the z-score? 1
X (Round to the hundredths place)
What is the probability that no more than 156 U.S. adults of the 240 surveyed believe
solar energy is very effective in minimizing air pollution? 0.1587
(decimal
form)
Transcribed Image Text:Normal Approximation According to the May 16,2017 report by Pew Research, 68% of US adults say solar energy is very effective in minimizing air pollution. A sample of 240 U.S adults are surveyed. Let > be the sample proportion of Americans who believe solar energy is very effective in minimizing air pollution. 1. What is the population proportion? 0.68 (decimal form) 2. What is the sample size? 240 3. Can the normal approximation be used with this distribution? Yes, the population distribution is normally distributed. X 4. What is the mean of the sampling proportion? 0.68 5. What is the standard deviation of the sampling proportion? 0.0301 (Round to 4th decimal place) 6. What is the probability that no more than 156 U.S adults of the 240 surveyed believe solar energy is very effective in minimizing air pollution? What is ? 0.65 (decimal form) What is the z-score? 1 X (Round to the hundredths place) What is the probability that no more than 156 U.S. adults of the 240 surveyed believe solar energy is very effective in minimizing air pollution? 0.1587 (decimal form)
Binomial Distribution
Use technology (calculator, Microsoft Excel, or Google Sheets) to find the following binomial
probabilities. Round to the nearest thousandth.
According to the Center for Disease Control, 15% of US adults are estimated to have chronic
kidney disease. A random sample of 150 U.S adults are selected. What is the probability that:
1. Exactly 35 have chronic kidney disease? P(r
✔ 35) = 0.002
15)
=
2. No more than 15 have chronic kidney disease? P(r
0.049
= 0.059
3. Thirty or more have chronic kidney disease? P(r > ♦
30)
Transcribed Image Text:Binomial Distribution Use technology (calculator, Microsoft Excel, or Google Sheets) to find the following binomial probabilities. Round to the nearest thousandth. According to the Center for Disease Control, 15% of US adults are estimated to have chronic kidney disease. A random sample of 150 U.S adults are selected. What is the probability that: 1. Exactly 35 have chronic kidney disease? P(r ✔ 35) = 0.002 15) = 2. No more than 15 have chronic kidney disease? P(r 0.049 = 0.059 3. Thirty or more have chronic kidney disease? P(r > ♦ 30)
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