Problem 3To estimate the portion of voters who plan to vote for Candidate A in an election, arandom sample of size n from the voters is chosen. The sampling is done withreplacement. Let 0 be the portion of voters who plan to vote for Candidate A among allvoters. How large does n need to be so that we can obtain a 90% confidence intervalwith 3% margin of error? That is, how large n needs to be such thatP(X - 0.03 <0 < X +0.03) > 0.90,

Answered: Image /qna-images/answer/65076bc6-ef7f-4663-a55e-8078af73a67c.jpg

Answered: Problem 3 To estimate the portion of…

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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4. (4.1-8). In a smoking survey among men between the ages of 25 and 30. 63% prefer to date nonsmokers, 13% prefer to date smokers, and 24% dont care. Suppose nine such men are selected randomly. Let X equal the number who prefer to date nonsmokers and Y equal the number who prefer to date smokers. (a) Determine the joint pmf of X and Y. Be sure to include the support of the pmf. (b) Find the marginal pmf of X. Again include the support.
Imagine you are doing a Related-Samples t-test, and you are on Step Two of the hypothesis test. The sample of difference scores that you calculated is -1, -1, -3, +2, 0, -4. If you are doing the test with α = .01, and two tails, what would he correct t-critical be?
At ABC College it is estimated that at most 10% of the students use public transportation to the college. Does it seem to be a valid estimate if, in a random sample of 120 students, 25 students use public transportation. (Use α = .01)
Any help is greatly appreciated:)
4. A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 90 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim at α = 0.05.
Suppose we would like to test the claim that exactly 75% of Canadians are willing to receive a vaccine for COVID-19, once a vaccine is found. (We are assuming that the threshold for herd immunity is 75%.) We randomly select n = 1500 Canadians and find that x = 1152 of these individuals say “yes”. Calculate the P-value for this sample. Round to four decimal places.
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…
Peter is trying to figure out the sample size for the data set he wants to collect. He is considering having the bound on the error of estimation to be either 3.5 or 4.5. Explain to Peter the impact these different errors will have on his sample size.
3) An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α = 0.01, test the airline's claim. Round to the nearest thousandth when calculating the test statistic.

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