1. A random sample of 400 voters in a certain city are asked if they favor anadditional 4% gasoline sales tax to provide badly needed revenues forstreet repairs. If more than 220 but fewer than 260 favor the sales tax, weshall conclude that 60% of the voters are for it. (a) Find the probability ofcommitting a type I error if 60% of the voters favor the increased tax. (b)What is the probability of committing a type || error using this testprocedure if actually only 48% of the voters are in favor of the additionalgasoline tax?

Answered: Image /qna-images/answer/b287eb3e-9ca6-4006-8684-a3550ac1eed9.jpg

Answered: 1. A random sample of 400 voters in a…

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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7. a. What is the most likely outcome?b. One person is selected at random from these adults. Find the probability that this person is:(i) In favor of cloning(ii) Male and Female against cloning(iii) In favor of cloning given that the person is female(iv) Male or female in favor of cloning
A production process produces electronic component parts. It is presumed that the probability of a defective part is 0.01. During a test of this presumption, 600 parts are sampled randomly and 18 defectives are observed. (a) What is your response to the presumption that the process is 1% defective? Be sure that a computed probability accompanies your comment. (b) Under the presumption of a 1% defective process, what is the probability that only 3 parts will be found defective? (c) Do parts (a) and (b) again using the Poisson approximation.
1. A test to determine whether a certain antibody is present is 99.2% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.2% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.008. Suppose the test is given to five randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all five people? (b) What is the probability that the test comes back positive for at least one of the five people? (a) P(all 5 tests are negative) = (Round to four decimal places as needed.) %3D (b) P(at least one positive): (Round to four decimal places as needed.)
A study was performed to assess the feasibility of a national random digit dialing cellular phone survey among young adults age 18-34. It was reported that 3.2% of respondents were eligible to participate and that 55% of eligible respondents agreed to participate. Suppose 1000 potential participants are contacted to participate in this survey. What is the approximate probability that at least 12 of the 1000 participants will be eligible and agree to participate?
The U.S. Health Department reported that 40% of households had both a wireless phone and a landline. Assume that in a simple random sample of 300 households, 105 are found to have both services. With this information answer the following questions: What is the population proportion, π? What is the sample proportion, p? What is the standard error of the sample proportion? In the sampling distribution of the proportion, what is the probability that a sample of this size would result in a sample proportion at least 35%?
A Boston College survey consisted of 320 Michigan workers who were laid off between 1979 and 1984, I found that 20% had been out of work for at least two years. Suppose you were to select another random sample of 320 workers among all employees laid off between 1979 and 1984. Which It would be the probability that your sample percentage of unemployed workers. for at least two years, differs from the percentage obtained in the survey of Boston College, 5% or more?
1.) Why does a large value of the F statistics provide evidence against the null hypothesis? 2.) An urn contains 20 colored golf balls: 8 white, 6 red, 4 blue, and 2 yellow. A child is allowed to draw balls until he gets a yellow one. The number of draws required is recorded. Determine what distribution the probability experiment represents and why?
a) A recent poll found that the mayor of a small town had the approval of 52% of the population. A new poll is being conducted one week before the election with a total of 324 randomly selected individuals. What is the probability that this poll finds the mayor’s approval below 50% ? b) It is estimated that 13.1% of Americans are left handed. What is the probability that a random sample of 100 Americans has between 10 and 15 left-handed people?
A company generally purchases large lots of a certain kind of electronic device. A method is used that rejects a lot if 2 or more defective units are found in a random sample of 100 units. (a) What is the probability of rejecting a lot that is 3% defective? (b) What is the probability of accepting a lot that is 5% defective?
3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?
After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 5 women among the last 25 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of hiring 5 or fewer women when 25 people are hired, assuming that there is no discrimination based on gender. That is, address the claim that the proportion of females hired is 50%. Use the sample data stated above. a. The null and alternative hypothesis would be: Ho : μ 0.5 H₁: p > 0.5 H₁ μ Σ+ Σ Α

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