**Determining Sample Size for Polling**A pollster plans to survey voters in a large city to create a 99% confidence interval for the percentage supporting the incumbent mayoral candidate. The goal is to determine the sample size needed to ensure the margin of error does not exceed 0.05. Ensure to round up to the next whole number when calculating.**Interactive Element:**- **Sample Size Input:** A box where users can input their calculated sample size.- **Buttons:** Options to submit or reset the input.

Confidence level is 99%The margin of error is m= 0.05

Answered: A pollster is going to sample a number…

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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A polling firm called 1,000 likely voters to ask about their political preferences. Of those polled, 520 indicated that they would vote for the incumbent candidate. Determine the point estimate for the proportion of voters in the election district who will vote for the incumbent. What is the sampling distribution for p in this example? Approximately how many voters must be polled for a margin of error equal to .01, assuming a confidence level of 95%? Show your work.
Nearly one-half of Americans ages 25 to 29 are unmarried. How large a sample is necessary to estimate the true proportion of unmarried Americans in this age group within 2 percentage points with 95% confidence?
To collect data about the amount of time students spend studying for exams, which of the following methods should a teacher use to lead to a sample that is the most representative of the students in the school? Survey all the students who are in their final year of high school. Survey all students who achieved over 85% on their report card last semester. Survey all the students who play football. Survey all the students in the classes that he or she teaches. Survey 20 randomly selected students from each grade.
The quality control engineer should review lots of 200 items each. He decides that his study has a confidence of 95% and allow an error of 5%. Calculate the sample size to inspect a lot when you don't haveprevious information and then decrease the sample size with correction.
A poll found that 59% of a sample of 1020 teens in a certain large country go online several times a day. (Treat this sample as a simple random sample.) Complete parts a through e below. Find the margin of error for this poll if we want 90% confidence in our estimate of the percent of teens in the country who go online several times a day. Explain what the margin of error means. If instead we need to be 95% confident, will the margin of error be larger or smaller? Explain. Find that margin of error.
A political candidate has asked you to conduct a poll to determine what percentage of people support her.If the candidate only wants a 10% margin of error at a 90% confidence level, what is the sample size that is needed?Give your answer as a whole number.
A political candidate has asked you to conduct a poll to determine what percentage of people support her, assume p=.5.If the candidate only wants a 2% margin of error at a 90% confidence level, what size of sample is needed?
A political candidate has asked you to conduct a poll to determine what percentage of people support her.If the candidate only wants a 3% margin of error at a 99% confidence level, what is the minimum sample size needed for the study?Give your answer as a whole number.
If a 95% Confidence for the Population Proportion is (0.56, 0.78), fınd its Margin of Error.
Find the sample size, n, needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.09 margin of error, use a confidence level of 98%, and use results from a prior poll suggesting that 18% of adults have consulted fortune tellers. n=
A gigantic warehouse stores approximately 70 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with blackspot, rendering them unusable. A statistician was hired by the insurance company to estimate p, the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate p to within 0.02 with 95% confidence? The statistician should sample (Round up to the nearest can.) cans to estimate the proportion that were contaminated by the fire to within 0.02 with 95% confidence.

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