A researcher wants to estimate the proportion of depressed individuals taking a new anti-depressant drug who find relief. A randomsample of 225 individuals who had been taking the drug is questioned; 166 of them found relief from depression. Based upon this,compute a 95% confidence interval for the proportion of all depressed individuals taking the drug who find relief. Then find the lower limitand upper limit of the 95 % confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult alist of formulas.)Lowerlimit:Upperlimit:

Answered: Image /qna-images/answer/56f1b2a8-9425-46e0-be60-cc364fef33d4.jpg

Answered: A researcher wants to estimate the…

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 sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who have changed jobs within the past year. a) In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05? b) In a sample of 100 workers, 20 of them had changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who have changed jobs within the past year. c) Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within ±0.05.
A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 70 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 70 cans, 59 meet the specification for puncture resistance. (d) If a 90% confidence interval is computed each day for 300 days, what is the probability that more than 280 of the confidence intervals cover the true proportions?
A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain areawho favor moving the broadcast of the late weeknight news to an hour earlier than it is currently. Initially, theconfidence interval will be created using a simple random sample of 9,000 viewers in the area. Assuming that thesample proportion does not change, what would be the relationship between the width of the original confidenceinterval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000viewers in the area?(A) The second confidence interval would be 9 times as wide as the original confidence interval.(B) The second confidence interval would be 3 times as wide as the original confidence interval.(C) The width of the second confidence interval would be equal to the width of the original confidence interval.(D) The second confidence interval would be 1/3 as wide as the original confidence interval.(E) The second…
A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who have changed jobs within the past year. In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.02? Round up the answer to the nearest integer.
An epidemiologist with the Florida Department of Health needs to estimate the proportion of Floridians who are infected with the corona virus but are asymptomatic (show no signs of the virus). The epidemiologist compiled a preliminary random sample of infected patients and found that 65% of the sample were also asymptomatic.How large a sample should be selected such that the margin of error of the estimate for a 96% confidence interval is at most 1.93%. Round the solution up to the nearest whole number.
Mrs. Voorhees claims that a Bowie knife is the most effective method of disposing rowdy campers. In a random sample of campers at Lake Crystal, a statistician found that a 99% confidence interval for the proportion of campers disposed by a Bowie knife is 0.7326 to 0.8154. A study claims that the proportion of campers disposed by a Bowie knife is 78%. What can we conclude if we use the above confidence interval to test the claim? A. Since 0.78 does not fall in the confidence interval, evidence indicates the study’s claim is correct. B. Since 0.78 falls in the confidence interval, evidence indicates the study’s claim is incorrect. C. Since 0.78 does not fall in the confidence interval, evidence indicates the study’s claim is incorrect. D. Since 0.78 falls in the confidence interval, evidence indicates the study’s claim is correct.
In a sample of 225 college seniors, 189 responded positively when asked if they have spring fever. Based upon this, compute a 95% confidence interval for the proportion of all college seniors who have spring fever. Carry the intermediate computations to at least three decimal places. Round the answers to two decimal places. (a) What is the lower limit of the 95% confidence interval? (b) What is the upper limit of the 95% confidence interval?
A large trucking company wants to estimate the proportion of its trailer truck population with refrigerated carrier capacity. A random sample of 200 trailer trucks is taken and 30% of the sample have refrigerated carrier capacity. The 90% confidence interval to estimate the population proportion is?
The National Weight Control Registry tries to mine secrets of success from people who lost at least 30 pounds and kept it off for at least a year. It reports that out of 2,720 registrants, 439 were on a low-carbohydrate diet (less than 90 grams a day). a. Develop a 95% confidence interval for the proportion of people on a low-carbohydrate diet.b. Is it possible that the population percentage is 16%? c. How large a sample is needed to estimate the proportion within 0.55%?

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