Which of the following statements is true regarding the width of a confidence interval for a population proportion? O a. It is wider for a sample of size 80 than for a sample of size 40. O b. It is wider for 95% confidence than for 99% confidence. O C. It is narrower when the sample proportion is 0.20 than when the sample proportion is 0.50. O d. It is narrower for 95% confidence than for 90% confidence.
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- True or false? If the original x distribution has a relatively small standard deviation, the confidence interval for ? will be relatively short. a. False. As ? decreases, E decreases, resulting in a longer confidence interval. b. True. As ? decreases, E increases, resulting in a shorter confidence interval. c. True. As ? decreases, E decreases, resulting in a shorter confidence interval. e. False. As ? decreases, E increases, resulting in a longer confidence interval.For the data set below, calculate r, r2, and a 95 percent confidence interval in r units. Then write a one- to two sentence conclusion statement that includes whether the null hypothesis was rejected or not and whether there is a strong /weak/no relationship. Assume a two tailed hypothesis and α = .05. Case 1 Case 2 Case 3 Case 4 Case 5 Case 6 X 1.05 1.15 1.30 2.00 1.75 1.00 Y 2 2 3 4 5 2You create a 95% confidence interval for the proportion of a population. The confidence interval does not contain 0.10. This means that Group of answer choices a.You have evidence to conclude that the population proportion is equal to 0.10. b.You do not have evidence to conclude that the population proportion is equal to 0.10. c.You have evidence to conclude that the population proportion is not equal to 0.10. d.You do not have evidence to conclude that the population proportion is not equal to 0.10. e.The answer cannot be determined with the information given.
- Which interval is which? Alessandro constructed three confidence intervals, all from the same random sample. The confidence levels are 90%, 95%. and 99%. The confidence intervals are I. 4.5<µ<5.5 II. 4.3 <µ<5.7 III. 4.6<µ<5.4 Unfortunately, Alessandro has forgotten which confidence interval has which level. Match each confidence interval with its level. 4.5Which interval is which? Alessandro constructed three confidence intervals, all from the same random sample. The confidence levels are 90%, 95%, and 99%. The confidence intervals are I. 7.4<μ<8.6 II. 7.1When 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. 10Please answer all. Thank you. The width of a confidence interval for a proportion will be A.) wider for sample of size 100 than for a sample size of 50 B.) wider when the sample proportion is 0.50 than when the sample proportion is 0.20 C.) wider for 90 percent confidence than for 95 percent D.) narrower for 99 percent confidence than for 95 percent Which of the following is not a property of a normally distributed data. A.) the mean, median and mode coincide at the center B.) area under curve is 1 C.) the width of curve is determined by the mean of distribution. D.) the curve is symmetrical about its center.Provide an appropriate response. Suppose you have obtained a confidence interval for u, but wish to obtain a greater degree of precision. Which of the following would result in a narrower confidence interval? L Increasing the sample size while keeping the confidence level fixed II. Decreasing the sample size while keeping the confidence level fixed III. Increasing the confidence level while keeping the sample size fixed IV. Decreasing the confidence level while keeping the sample size fixed O A. , IV O B. I, II OC. II, IV O D. II, II O E. II, IVYou are interested in constructing a 99% confidence interval for the population of all caterpillars that eventually become butterflies. Of the 413 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 413 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 contain the true population proportion.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman