Many people think that a national lobby'ssuccessful fight against gun controllegislation is reflecting the will of a minorityof Americans. A random sample of 4000citizens yielded 2250 who are in favor ofgun control legislation. Estimate the trueproportion of all Americans who are in favorof gun control legislation using a 90%confidence interval. Express the answer inthe form p + E and round to the nearestten-thousandth.0.4375 + 0.01290.5625 + 0.40480.4375 + 0.40480.5625 + 0.0129

Given data,Sample size n=4000x=2250Point estimate is p=xn=22504000=0.5625

Answered: Many people think that a national…

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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Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority of Americans. A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. Estimate the true proportion of all Americans who are in favor of gun control legislation using a 98% confidence interval. Express the answer in the form p ± E and round to the nearest ten-thousandth
A pollster wants to construct a 98% confidence interval for the proportion of adults who believe that economic conditions are getting better. (a) A poll taken in July 2010 estimates this proportion to be 0.27. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.05?
Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority of Americans. A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval. Round to the nearest ten-thousandth.
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A national media outlet conducted a poll which estimated that 82% of all voters believed global warming exists had a margin of error of +/-3%. Suppose an environmental grop planning a follow-up survey of voters' opinions on global warming wants to determine a 90% confidence interval with a margin of error of no more than +/-2%. How large a sample do they need? Use the media outlet's estimate as the basis for your calculation.
The same Gallup poll asked its 1523 adult respondents and also 501 teens (ages 13 to 17) whether they generally approved or legal gambling: 63% or adults and 52% or teens said yes. The margin of error for a 95% confidence statements about teens would be A) can't say, because it depends on what percent of each population was in the sample B)the same as for adults, becausethey both come from the same sample survey C)less than for adults, because there are fewer teens in the population D)less than for adults, becuase the teen sample is smaller E)Greater than for adults, because the teen sample is smaller
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.
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Many people think that a national lobby' successful fight against gun control legislation is reflecting the will of a mino