A certain forum reported that in a survey of 2006 American adults, 21% said they believed in astrology.(a) Calculate a confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology. (Round your answers to three decimal places.)Interpret the resulting interval.O We are 99% confident that this interval contains the true population mean.O We are 99% confident that the true population mean lies below this interval.O We are 99% confident that the true population mean lies above this interval.We are 99% confident that this interval does not contain the true population mean.(b) What sample size would be required for the width of a 99% CI to be at most 0.05 irrespective of the value of p? (Round your answer up to the nearest integer.)

Answer Given Confidence interval =99%n =2006P =21%

Answered: A certain forum reported that in a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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QUESTION 22 A car insurance company wanted information about the age of its customers. A researcher computed 90%, 95%, 97%, and 99% confidence intervals for the population mean age of the customers. Which of the following intervals is the the 97% confidence interval for the population mean age? (36.30, 39.70) O (36.70, 39.30) (36.56, 39.44) (36.91, 39.09)
In a survey of 2343 adults, 700 say they believe in UFOs. Construct a 90%confidence interval for the population proportion of adults who believe in UFOs. Part 1 A 90% confidence interval for the population proportion is ( __, __ ) Interpret your results. Choose the correct answer below. A. The endpoints of the given confidence interval shows that 90% of adults believe in UFOs. B. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. C. With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. D. With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)
What is the correct interpretation for a 95% confidence interval of the population mean μ? The probability that the population mean is in the interval is 5%. In the long run, 95% of the intervals created will contain the population mean. There is a 5% chance that the sample mean will be in the interval. 95% of the population has a value in the confidence interval.
When constructing a 90% confidence interval around a sample mean, how many samples out of 100 would you expect to not include the true population mean within their confidence intervals? a. 5 b. 1 c. 0 d. 10
Which is true about a 95% confidence interval for a population proportion based on a given sample? A There is a 95% chance that the true sample proportion is in the middle of our interval. There is a 5% chance that our Interval does not contain the population proportion. C The Interval Is wider than a 90% confidence Interval would be. none of these is true.
Question 17: determine which is the 95% confidence interval and which is the 99% confidence interval. (60,120) (75,100)
Explain what "98% confidence" means in a 98% confidence interval. What does "98% confidence" mean in a 98% confidence interval? CHU OA. If 100 different confidence intervals are constructed, each based on a different sample of size n from the same population, then we expect 98 of the intervals to include the parameter and 2 to not include the parameter. OB. The confidence interval includes 98% of all possible values for the parameter OC. The probability that the value of the parameter lies between the lower and upper bounds of the interval is 98%. The probability that it does not is 2% OD. The value of the parameter lies within 98% of a standard deviation of the estimate.
In a survey of 2316 adults, 722 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below. O A. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. OB. With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval. O C. The endpoints of the given confidence interval shows that 90% of adults believe in UFOs. O D. With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 418 randomly selected caterpillars observed, 59 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 418 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 400 randomly selected caterpillars observed, 40 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 400 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
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