cryptocurrency miner bought 90 used computer graphics cards for his mining activities from a file graphics card vendor. However, 9 out of 90 graphics cards were damaged. a. Calculate the 98% two-sided confidence interval for the percentage of defective graphics cards from the seller. b. Calculate the 99% upper confidence interval (99% upper confidence interval) for

cryptocurrency miner bought 90 used computer graphics cards for his mining activities from a file graphics card vendor. However, 9 out of 90 graphics cards were damaged. a. Calculate the 98% two-sided confidence interval for the percentage of defective graphics cards from the seller. b. Calculate the 99% upper confidence interval (99% upper confidence interval) for

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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In a certain high school, 7 out of 11 juniors said that they planned to go to the winter prom. Construct a 96% confidence interval for the proportion of juniors who plan to attend the winter prom. Round to four decimal places. Find the margin of error to construct a 96% confidence interval for the proportion of juniors who plan to attend the winter prom. m = Construct a 96% confidence interval for the proportion of juniors who plan to attend the winter prom. 96% confidence interval for the proportion of juniors who plan to attend the winter prom is between___ and____
A researcher computed a 90% confidence interval for the proportion of students who smoke. If the researcher had instead used a 95% confidence interval, then the computed margin of error would have been smaller. True False
In a sample of 500 Canadians, 275 say they would rather retire in the US than in Canada. Calculate the 95% confidence interval for the true proportion of Canadians who would rather retire in the US.
A recent study on the way that people talk indicated, with 95 percent confidence, that between 35 percent and 41percent of all adults find the word “whatever” to be the most annoying word in conversation.Based on the confidence interval, which of the following claims is supported?(A) Less than 25 percent of all adults find the word “whatever” to be the most annoying word in conversation.(B) More than 30 percent of all adults find the word “whatever” to be the most annoying word in conversation.(C) More than 45 percent of all adults find the word “whatever” to be the most annoying word in conversation.(D) More than half of all adults find the word “whatever” to be the most annoying word in conversation.(E) At least 95 percent of all adults find the word “whatever” to be the most annoying word in conversation.
A random sample of students at a college shows that 54 of 200 students had part-time jobs. Which of the follow-ing is the correct formula for a 90% confidence interval for the proportion of all students at this college withpart-time jobs?A) 0.27 { 1.28B10.27210.732200B) 0.27 { 1.28B10.5210.52200C) 0.27 { 1.645B10.27210.732200D) 0.27 { 1.645B10.5210.52200E) 0.27 { 1.96B10.27210.732200
An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 339 people living in East Vancouver and finds that 40 have recently had the flu. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of East Vancouver residents who have recently had the flu. A. 11.80% (40/339) of East Vancouver residents have recently had the flu. ? true false B. There is a 95% probability that the true proportion of East Vancouver residents who have recently had the flu equals 40/339. ? true false C. If another random sample of 339 East Vancouver residents is drawn, there is a 95% probability that the sample proportion of East Vancouver residents who have recently had the flu equals 40/339. ?…
Gallup is a company that conducts daily opinion polls on a variety of topics. In a recent daily survey of 1,000 randomly selected adults in the United States, 38% of the sample said they were committed to their work. Based on this sample, which of the following is a 97% confidence interval for the proportion of all adults in the United States who would say they are engaged in their work? Select one: a. (0.347, 0.413) b. (0.319, 0.441) c. (0.350, 0.410) d. (0.365, 0.395) e (0.340, 0.420)
A manager at ACME Equipment Sale and Rental wondered how offering a free two-year service warranty on its tractors might influence sales. For the next 500 customers expressing interest in purchasing a tractor, 250 were randomly offered the warranty and the rest were not. Ninety-three of those offered the warranty, and fifty-four of those not offered the warranty eventually purchased a tractor. a. Construct a 95% confidence interval for the difference between the proportions of customers purchasing tractors with and without warranties. Be sure to check all necessary assumptions, and interpret the interval. b. Test the hypothesis that offering the warranty increases the proportion of customers who eventually purchase a tractor. Be sure to check all necessary assumptions, state the null and alternative hypotheses, obtain the p-value, and state your conclusion. Should the manager offer the warranty based on this test?
A manager at ACME Equipment Sale and Rental wondered how offering a free two-year service warranty on its tractors might influence sales. For the next 500 customers expressing interest in purchasing a tractor, 250 were randomly offered the warranty and the rest were not. Ninety-three of those offered the warranty, and fifty-four of those not offered the warranty eventually purchased a tractor. a. Construct a 95% confidence interval for the difference between the proportions of customers purchasing tractors with and without warranties. Be sure to check all necessary assumptions, and interpret the interval.
According to the same Pew Internet study, 8% of those with broadband connections are using fixed wireless. Let p be the proportion of broadband users who use fixed wireless, and consider the hypotheses: Ho: p = 0.08 Ha: p ≠ 0.08 If the p-value is 0.103 and we fail to reject H0, based upon the same data, which confidence interval would be the 95% confidence interval for p? a. (0.068, 0.082) b. (0.068, 0.078) c. (0.098, 0.112) d. (0.085, 0.096)
In general, would you expect a 90% confidence interval on μ to be longer or shorter than a 95% confidence interval based on the same sample?
Suppose that a safety group surveyed 1,100 drivers. Among those surveyed, 65% said that careless or aggressive driving was the biggest threat on the road, and 25% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 95% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is ??––––––??> (Round to three decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. A. There is a 0.95 probability that the population proportion of drivers who are annoyed by cell phone users is in the interval. B. There is 95% confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval. C. There is 95% confidence that the population proportion…