A certain forum reported that in a survey of 2001 American adults, 22% 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.We are 99% confident that this interval contains the true population mean.We are 99% confident that this interval does not contain the true population mean.We are 99% confident that the true population mean lies below this interval.We are 99% confident that the true population mean lies above this interval.(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.)

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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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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.
Three hundred randomly selected people were asked a Yes or No question. The resulting 95% confidence interval for the proportion of Yes responses in the population is(.201, .299). How many people in the sample of 300 responded Yes? ______
Suppose you find that the 95% confidence interval for the cost of a wedding is ($29,000, $35,000). What is the correct interpretation of this interval? Group of answer choices For the next wedding you attend, the cost will be between $29,000 and $35,000. There is a 95% probability that the sample mean is between $29,000 and $35,000. There is a 95% probability that the population mean is between $29,000 and $35,000. You are 95% confident that the mean wedding cost is between $29,000 and $35,000. thanks
QUESTION 27 What happens to the width of a confidence interval as the sample size decreases? The width of the confidence interval increases. The width of the confidence interval decreases. The width of the confidence interval will not change.
QUESTION 23 Ali constructed a 98% confidence interval for the mean amount spent per day in a shopping mall based on 100 customers. The confidence interval was found to be (AED 1150, AED 2150). Select all correct answers. The mean amount spent per day by the 100 customers selected in the sample falls between AED 1150 and AED 2150. We are 98% confident that the mean amount spent per day by customers falls between AED 1150 and AED 2150. The mean amount spent per day by all customers falls between AED 1150 and AED 2150. 98% of all customers spent between AED 1150 and AED 2150 per day.
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.
According to a poll, 79% of California adults (398 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California. Find a 90% confidence interval for the population proportion. (Round your answers to three decimal places.) Additional Materials Reading
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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