A certain forum reported that in a survey of 2009 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.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.O we are 99% confident that this interval does not contain the true population mean.O we are 99% confident that this interval contains 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.)

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Answered: A certain forum reported that in a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Construct an 80 % confidence interval for the mean height of sons whose fathers are 70 inches tall. Round your answer to at least three decimal places. An 80 % confidence interval for the mean height of sons whose fathers are 70 inches tall is (this is part 2 of 2 of the math problem, please and thank you
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
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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 382 randomly selected caterpillars observed, 54 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 __.
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.
A center for education statistics reported that 49% of college students work to pay for tuition and living expenses. Assume that a sample of 450 college students was used in the study. A. Provide a 95% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (Round your answers to four decimal places.) _____ to _____ B. Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (Round your answers to four decimal places.) _______ to _____
Q6
In a recent poll, 430 people were asked if they liked dogs, and 94% said they did. Find the Margin of Error for this poll, at the 95% confidence level. Give your answer to four decimal places if possible. ______________________
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 425 randomly selected caterpillars observed, 55 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between ___and____ . b. If many groups of 425 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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