A state legislator wishes to survey residents of her district to see what proportion of the electorate is aware of her positionon using state funds to pay for abortions. (Round your answers up to the nearest integer.)USE SALT(a) What sample size is necessary if the 95% CI for p is to have a width of at most 0.16 irrespective of p?147people5(b) If the legislator has strong reason to believe that at least of the electorate know of her position, how large a6sample size would you recommend to maintain a width of at most 0.16?84X people

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Answered: A state legislator wishes to survey…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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You are doing a research project in political science to determine the proportion of voters in your district who favor capital punishment. a. If no preliminary sample of voters is taken to estimate p, how large a sample is necessary to be 99% sure that the point estimate will be within a distance of .01 from p? b. The NORC found that approximately 67% of people in the U.S. favor capital punishment. How large a sample is necessary to be 99% sure that the point estimate will be within a distance of .01 from p?
A poll in Canada states that 67% of all respondents favor imposing the death penalty. The poll was considered accurate within 4.7 percentage points 95% of the time. How large was the sample size? Round up to the nearest whole number.
In a Gallup poll of 1236 adult respondents, 6% said that bad luck follows breaking a mirror. That percentage has a margin of error of 1.5 percentage points. Why is it misleading to state that the percentage is 6% with a margin of error of 1.5%?
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You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 5.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 33% of air passengers prefer an aisle seat. n3= (Round up to the nearest integer.)
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 90% confident that the sample percentage is within 5.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 38% of air passengers prefer an aisle seat. (Round up to the nearest integer.)
Many states are carefully considering steps that would help them collect sales taxes on items purchased through the Internet. How many randomly selected sales transactions must be surveyed to determine the percentage that transpired over the Internet? Assume that we want to be 99% confident that the sample percentage is within two percentage points of the true population percentage for all sales transactions. n = (Round up to the nearest integer.)
In 1942, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 440 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 418 indicated that they were total abstainers. Complete parts (a) and (b) below. (a) Determine the sample proportion for each sample. and respectively. The proportions of the adults who took the 1942 survey and the recent survey who were total abstainers are (Round to three decimal places as needed.)
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 1 of 2: Suppose a sample of 333 tenth graders is drawn. Of the students sampled, 260 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places. Step 2 of 2: Suppose a sample of 333 tenth graders is drawn. Of the students sampled, 260 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 1.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. n= (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 38% of air passengers prefer an aisle seat. @ 2 S n= (Round up to the nearest integer.) x дв nd # 3 E D BO C $ R F V 5 T G 6 B Y H 7 N *99 U J . 8 DHE I M ( 9 K be O O L 1 P command Time Remaining: 01:09:52 > ; I { [ option ? | . Next 1 delete

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