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. Letp 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
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. Letp 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
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 p be the sample proportion of Americans who believe solar energy is very effective in minimizing air pollution.
1. What is the population proportion? 0.68
v (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? 163.2
5. What is the standard deviation of the sampling proportion? 7.2266
x (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
v (decimal form)
What is the z-score? 0.18
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?
0.1769
x (decimal form)
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