For each of the followingstatements, specify whether thestatement is a correct interpretationof the 95% confidence interval forthe true proportion of EastVancouver residents who haverecently had the flu.A. 11.80% (40/339) of East Vancouver residents haverecently had the flu. ?B. There is a 95% probability that the true proportion ofEast Vancouver residents who have recently had the fluequals 40/339. ?C. If another random sample of 339 East Vancouverresidents is drawn, there is a 95% probability that thesample proportion of East Vancouver residents whohave recently had the flu equals 40/339. ?D. If many random samples of 339 East Vancouverresidents are drawn, 95% of the resulting confidenceintervals will contain the value of the true proportion ofEast Vancouver residents who have recently had theflu. ?E. If many random samples of 339 East Vancouverresidents are drawn, 95% of the resulting confidenceintervals will contain the value 40/339. ?

95% confidence interval means, the range of values for which we can be 95% sure that the range…

Answered: For each of the following statements,…

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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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 560 randomly selected Americans surveyed, 356 were in favor of the initiative. a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between and . b. If many groups of 560 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About . percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.
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If the sample size stays the same and the confidence interval is changed from 90 to 99 percent, which of the following is true? a.the confidence interval stays the same b.the confidence interval gets narrower. c.the confidence interval gets wider
In a poll of 26 randomly selected students showed that 24.6% of the respondents believe in global warming. Based on the sample results, the margin of error E that corresponds to a 80% confidence level is equal to: O a. 0.17 O b. 0.14 O c. 0.11 O d. 0.22
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 427 randomly selected caterpillars observed, 45 lived to become butterflies. a. Use 3 decimal places to complete the following statement: With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 427 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.
Listed below are the amounts of net worth in millions of the 10 wealthiest celebrities in a certain country. Construct a 90% confidence interval. What does the result tell us about the population of all the celebrities? Does the data appear to be from a normally distributed population as required? 247 208 196 173 166 161 148 148 143 143
A newsgroup is interested in constructing a 99% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 542 randomly selected Americans surveyed, 447 were in favor of the initiative. a. With 99% confidence the proportion of all Americans who favor the new Green initiative is between and . b. If many groups of 542 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About . percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 424 randomly selected caterpillars observed, 50 lived to become butterflies. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 424 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.
4.A prior study(by Pew Research 2021)found that 35 out of 50 randomly selected US adults between the ages of 18 to 29 use (or have used) Instagram. Construct a 99% confidence interval for the population proportion of US adults between the ages of 18 to 29 use (or have used) Instagram. (round to three decimal places) a.Identify the following: X, N, P b.Which distribution should you use for this problem? c.What is the corresponding critical value for a 99% confidence interval? d.Calculate the margin of error (3 decimal places) e.Construct a 99% confidence interval f. Interpret the interval.
Which of the following is the correct interpretation of a 90% confidence interval such as 0.15 < p < 0.56? a. 90% of all data values fall between o.15 and o.56. O b. We are 90% confident that the interval from o.15 to o.56 will contain the true value of p. c. 90% of the population proportions fall between o.15 and o.56. O d. There is a 90% chance that p will fall between o.15 and o.56.
Suppose a researcher takes a random sample of 1,000 students from a university and creates a 95% confidence interval for the true proportion of left handed students at the university. Which of the following is true about this interval when compared with a 95% confidence interval based on a random sample of 600 students from the same university? a. The interval based on a sample of 600 students will be wider than the interval based on a sample of 1,000 students. b. The lower and upper endpoints of the 95% CI based on 600 students will both be larger than the corresponding lower and upper endpoints of the 95% CI based on 1,000 students. c. 95% CIs based in samples of 1,000 students are more likely to include the true population proportion than 95% CIs based on samples of 600 students. d. The interval based on a 1,000 students will be wider than the interval based on 600 students. 2. If the researchers above wished to decrease the width of the mean confidence interval for the mean age…
The following numbers represent five randomly selected individuals’ ages: 20, 32, 36, 42, 45. If the age distribution for the whole population follows a normal distribution, which one represents the 90% confidence interval for the mean age based on this particular sample? A ) (20.26, 49.74) B ) (25.66, 44.34) C ) (14.83, 55.17) D ) (28.28, 41.72) E ) (23.72, 46.28)

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