Question

Find the 90%, 95% and 99% confidence intervals for a survey of 2223 U.S. adults when...

Find the 90%, 95% and 99% confidence intervals for a survey of 2223 U.S. adults when 1334 say an occupation of as an athlete is prestigious.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Sample proportion = 1334 / 2223 = 0.600

a)

90% confidence interval for p is

- Z * sqrt ( ( 1 - ) / n) < p < + Z * sqrt ( ( 1 - ) / n)

0.60 - 1.645 * sqrt( 0.60 * 0.40 / 2223) < p < 0.60 + 1.645 * sqrt( 0.60 * 0.40 / 2223)

0.583 < p < 0.617

90% CI is ( 0.583 , 0.617 )

b)

95% confidence interval for p is

- Z * sqrt ( ( 1 - ) / n) < p < + Z * sqrt ( ( 1 - ) / n)

0.60 - 1.96 * sqrt( 0.60 * 0.40 / 2223) < p < 0.60 + 1.96 * sqrt( 0.60 * 0.40 / 2223)

0.580 < p < 0.620

95% CI is ( 0.580 , 0.620)

c)

99% confidence interval for p is

- Z * sqrt ( ( 1 - ) / n) < p < + Z * sqrt ( ( 1 - ) / n)

0.60 - 2.5758 * sqrt( 0.60 * 0.40 / 2223) < p < 0.60 + 2.5758 * sqrt( 0.60 * 0.40 / 2223)

0.573 < p < 0.627

995 CI is ( 0.573 , 0.627 )

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Calculate the 99%, 95%, and 90% confidence intervals for the following information. Identify how these confidence...
Calculate the 99%, 95%, and 90% confidence intervals for the following information. Identify how these confidence intervals are similar and how they are different. Explain why. (70 points) µ = 89 σ = 9 n = 121 The 99% Confidence Interval: The 95% Confidence Interval: The 90% Confidence Interval: Similarities: Differences: Why?
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample...
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample mean is 10 with the sample size of 100. Population standard deviation is known to be 5. 2. Suppose that sample size changes to 144 and 225. Develop three confidence intervals again. What happens to the margin of error when sample size increases? 3. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and 99% confidence interval for...
In a survey of 2241 U.S Adults in a recent year, 1322 say they have made...
In a survey of 2241 U.S Adults in a recent year, 1322 say they have made a new years resolution. This is a proportion confidence interval problem. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence interval.
A researcher computed 90%, 95%, 98% and 99% confidence intervals for a population mean. However, he...
A researcher computed 90%, 95%, 98% and 99% confidence intervals for a population mean. However, he forgot to record which interval was which, and he cannot find the sample data to allow him to recreate the intervals from scratch. He now needs only the 99% confidence interval. Which one is it?        a-(37.9, 42.1)         b-(38.4, 41.6)         c-(38.1, 41.9)         d-(38.7, 41.3)
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 13.3 11.6 11.9 12.2 12.5 11.4 12.0 11.7 11.8 13.3 (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: enter the lower limit of the 90% confidence interval  ≤ μ ≤ enter the upper limit of the 90% confidence interval 95% confidence interval: enter the...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 13.7 11.6 11.9 13.0 12.5 11.4 12.0 11.7 11.8 13.7 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: enter the lower limit of the 90% confidence interval ≤ μ ≤ enter the upper limit of the 90% confidence interval...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 13.1 11.6 11.9 12.0 12.5 11.4 12.0 11.7 11.8 13.1 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: enter the lower limit of the 90% confidence interval ≤ μ ≤ enter the upper limit of the 90% confidence interval...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...
Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population. 12.3 11.6 11.9 12.1 12.5 11.4 12.0 11.7 11.8 12.3 (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval:_____________ ≤ μ ≤ _____________ 95% confidence interval: ____________ ≤ μ ≤ _____________l   99% confidence interval: ____________ ≤ μ ≤ _____________ The point estimate is_________.
Explain how to solve this please and thanks Construct 90% and 95% confidence intervals for the...
Explain how to solve this please and thanks Construct 90% and 95% confidence intervals for the population proportion. In a survey of 674 US males ages 18 to 64; 396 say they have gone to the dentist in the past year
In a survey of 2317 ​adults, 729 say they believe in UFOs. Construct a 99% confidence...
In a survey of 2317 ​adults, 729 say they believe in UFOs. Construct a 99% confidence interval for the population proportion of adults who believe in UFOs.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT