An article published in the Canadian Journal of Zoology presented a method for estimating the body fat percentage of North American porcupines; the method was illustrated with a sample of n = 25 porcupines. Based on this sample, a 95% bootstrap confidence interval for the average body fat percentage of porcupines is 17.4% to 25.8%. Which of the following null hypotheses would be rejected based on this confidence interval? Ho: μ = 18.5 % Ho: μ = 20.7 % - O Ho:μ = 15.7% Ο Ho: μ 24.2% =
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- What is meant by the sample space of an experiment?From a simple random sample of 400 of the 1,395 colleges in our population, it was found that business statistics was a two-semester course in 141 of the sampled colleges. Estimate the proportion of all colleges for which the course is two semesters long, and find a 90% confidence interval.A recent survey of cell phone users indicated that 56 percent of the respondents prefer to use cell phones for texting rather than for making phone calls. A 95 percent confidence interval for the estimate of all cell phone users who prefer to use cell phones for texting has a margin of error of 3 percent. Assume all conditions for inference have been met. Based on the confidence interval, which of the following claims is supported? Select A, B, C, or D Less than half of all people prefer texting. A More than half of all people prefer texting. B At least 60 percent of all people prefer texting. C At least 75 percent of all people prefer texting. D At least 95 percent of all people prefer texting. E
- Mrs. Voorhees claims that a Bowie knife is the most effective method of disposing rowdy campers. In a random sample of campers at Lake Crystal, a statistician found that a 99% confidence interval for the proportion of campers disposed by a Bowie knife is 0.7326 to 0.8154. Which of the following is the correct interpretation for this confidence interval? A. We are 99% confident that the population proportion of campers disposed by a Bowie knife will be within the interval. B. 99% of the time, the sample proportion of campers disposed by a Bowie knife will be in the interval. C. There is a 99% probability that the population proportion of campers disposed by a Bowie knife will be within the interval. D. We are 99% confident that the sample proportion of campers disposed by a Bowie knife will be within the interval.On the basis of the results to part A in the picture, does the manager have a right to complain to the manufacturer?  does a 1 gallon paint can containing exactly 1 gallon of paint lie within the 95% confidence interval? A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain areawho favor moving the broadcast of the late weeknight news to an hour earlier than it is currently. Initially, theconfidence interval will be created using a simple random sample of 9,000 viewers in the area. Assuming that thesample proportion does not change, what would be the relationship between the width of the original confidenceinterval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000viewers in the area?(A) The second confidence interval would be 9 times as wide as the original confidence interval.(B) The second confidence interval would be 3 times as wide as the original confidence interval.(C) The width of the second confidence interval would be equal to the width of the original confidence interval.(D) The second confidence interval would be 1/3 as wide as the original confidence interval.(E) The second…
- After reporting the results from a formal hypothesis test, it is often likely that statisticians will report a confidence interval in order to indicate that a null value is present, indicating a significant response . True FalseAn 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. ?…If a 95% confidence interval for μ is calculated to be (21.4 , 27.9) , what would be the result of a hypothesis test at a 5% significance level performed on the set of hypotheses? H0: μ=27 vs H1: μ≠27
- An investigator computes a 95% confidence interval for a population mean on the basis of a sample of size 70. If she wishes to compute a 95% confidence interval that is half as wide, how large a sample does she need?In an article in the Journal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and the United Kingdom. They found that a substantially greater percentage of U.K. ads use humor.a. Suppose that a random sample of 400 television ads in the United Kingdom reveals that 142 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.K. television ads that use humor.b. Suppose a random sample of 500 television ads in the United States reveals that 122 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.S. television ads that use humor.c. Do the confidence intervals you computed in parts a and b suggest that a greater percentage of U.K. ads use humor? Explain.