3. A Gallup poll conducted in 2010 found that 494 of 1050 adult Americans believe it is the responsibility of the federal government to ensure that all citizens have basic health care coverage. Use this data to fill in the blanks: "We are 99% confident that the population proportion p of Americans who believe the government should ensure basic health care is % with a margin of error of %"

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Hi can you answer number 3 thank you !

Worksheet #10 – Confidence Intervals (9.1-9.3)
To complete this worksheet, you will need to refer to the standard normal probabilities chart, found at the
end of the class notes for section 7.4, and also to the chart for Student's t-distribution, found at the end of
the class notes for section 9.2.
1. A survey of 30 college students found that the average amount they slept per night was 7.2 hours. It is
known that the population standard deviation is o = 0.9 hours. Construct a 90% confidence interval for
the mean number of hours slept per night by filling in the blanks:
"We are
% confident that the population mean u is between
hours and
hours
slept per night."
2. A survey of 20 people asked, "If you've ever been married, how old were you when you were first
married?" The results were: = 22.3 years old and s = 4.8 years. Construct a 95% confidence interval
for the mean age at which people get married.
3. A Gallup poll conducted in 2010 found that 494 of 1050 adult Americans believe it is the responsibility
of the federal government to ensure that all citizens have basic health care coverage. Use this data to fill in
the blanks: "We are 99% confident that the population proportion p of Americans who believe the
government should ensure basic health care is
% with a margin of error of
%"
Transcribed Image Text:Worksheet #10 – Confidence Intervals (9.1-9.3) To complete this worksheet, you will need to refer to the standard normal probabilities chart, found at the end of the class notes for section 7.4, and also to the chart for Student's t-distribution, found at the end of the class notes for section 9.2. 1. A survey of 30 college students found that the average amount they slept per night was 7.2 hours. It is known that the population standard deviation is o = 0.9 hours. Construct a 90% confidence interval for the mean number of hours slept per night by filling in the blanks: "We are % confident that the population mean u is between hours and hours slept per night." 2. A survey of 20 people asked, "If you've ever been married, how old were you when you were first married?" The results were: = 22.3 years old and s = 4.8 years. Construct a 95% confidence interval for the mean age at which people get married. 3. A Gallup poll conducted in 2010 found that 494 of 1050 adult Americans believe it is the responsibility of the federal government to ensure that all citizens have basic health care coverage. Use this data to fill in the blanks: "We are 99% confident that the population proportion p of Americans who believe the government should ensure basic health care is % with a margin of error of %"
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