8.1 Confidence Interval1. Crop researchers are interested in the productivity of a new variety of corn. They plant 25 plots withrandomly selected seeds of the new variety, record the yield in bushels per acre, and find that a 99%confidence interval for the true mean yield is 118 to 130 bushels per acre.(a) Interpret the confidence interval.(b) What is the point estimate that was used to create the interval? What is the margin of error?(c) Interpret the confidence level.(d) Based on the research, a marketer tells a possible customer that with this new variety of corn they canexpect to receive more than 130 bushels per acre, on average. Use the confidence interval to evaluatethis statement.

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Answered: 1. Crop researchers are interested in…

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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Drinking A national health organization, concerned about drinking in middle school students, surveyed 220 randomly selected US 8th-grade students and found that 18 of them had had a drink of alcohol in the past month.(a) Find and interpret a 95% confidence interval for the proportion p of US 8th-grade students who drink alcohol.(b) Give the best estimate for p and give the margin of error for the estimate.
Sleep apnea: Sleep apnea is a disorder in which there are pauses in breathing during sleep. People with this condition must wake up frequently to breathe. In a sample of 421 people aged 65 and over, 115 of them had sleep apnea. ((c) In another study, medical researchers concluded that more than 34% of elderly people have sleep apnea. Based on the confidence interval, does it appear that more than 34% of people aged 65 and over have sleep apnea? Explain.
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Find the critical value, for a 90% confidence when the sample size is 22
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Call me: A sociologist wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in New York who own a smartphone. Part: 0 / 3 Part 1 of 3 (a) A survey by the National Consumers League estimated the nationwide proportion to be 0.38. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.04? A sample of children aged 8-10 living in New York is needed to obtain a 95% confidence interval with a margin of error of 0.04 using the estimate 0.38 for p. Skip Part. Check E 888 R $100 FO MacBook Air X Save For Later C 00 [110] Submit Assignment 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibilit
Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. We want to construct a 90% confidence interval estimate for the difference between the true proportion of males who say they would return the money to their neighbor and the true proportion of females who say they would return the money to their neighbor. Choose the best option for the result of constructing that interval. O -226 < p1 -p2 < +.003 O-226 < p1 -p2 <.-.048 O -243 < p1 -p2 < -.031
A computer store near campus is stocking its shelves and wants to know the relative proportions of students who use PCs vs Macs. A random sample of 60 students is surveyed, and each student is asked whether they use a PC or Mac more often. 55% select ”PC.” (a) What is the population and what is the sample in this study? (b) Calculate a 95% confidence interval for the proportion of UCI students that are PC users. (c) Provide an interpretation of this confidence interval in the context of this problem. (d) The confidence interval is pretty wide and leaves a lot of uncertainty over the proportion of UCIundergarduates who use PCs. With the goal to estimate a narrower 95% confidence interval, what is a simple change to this study that you could suggest for the next time that a similar survey is conducted?
During a flu vaccine shortage in the United States, it was believed that 45 percent of vaccine-eligible people received flu vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. (a) Construct a 99 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine. Use your confidence interval to comment on the belief that 45 percent of the vaccine-eligible people had received flu vaccine. (b) Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 99 percent confidence interval for the proportion of people who will have received flu vaccine is to be constructed. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.02 ?
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