Imagine a taste test done to compare two different soft drinks. In the test, 50 peopletaste both drinks and 60% of these 50 participants say that they like the taste of drink Abetter than the taste of drink B.(a)drink A to drink B.Compute a 95% confidence interval for the true proportion that preferShould the makers of drink A will be excited that their drink was picked by(b)more than half of the sample and create commercials to brag about the results?(c)the "resuits"?What are the issues with this taste test? Can anything be done to improve

Answered: Image /qna-images/answer/ce764c47-a66b-4ead-a9a1-dd083c252811.jpg

Answered: Imagine a taste test done to compare…

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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Similar questions

A political candidate is anxious about the outcome of the next election. To have his next survey result produce a 95% confidence interval with margin of error of no more than 0.03, how many eligible voters are needed in the sample?
Say that on average teenagers eat 10 slices of pizza each week, with a 95% confidence interval of (8-12). We take a sample of teenagers and find that this group eats an average of 6 slices each week. What can we say about the teenagers in the sample in relation to the confidence interval?
An analyst takes a random sample of 25 firms in the telecommunications industry and constructs a confidence interval for the mean return for the prior year. Holding all else constant, if he increased the sample size to 30 firms, how are the standard error of the mean and the width of the confidence interval affected?
From a random sample of 1000 houses in a city, it is found that 628 houses use natural gas heating. - Create a 98% confidence interval for the proportion of houses in the city that use natural gas heating - How large a sample is needed if we want to believe 98% that the proportion of the sample found lies within a distance of no more than 0.05 from the true proportion?
A medical research worker intends to use the mean of a random sample of size n=120 to estimate the mean blood pressure of women in their ﬁfties. If, based on experience, he knows that σ =10.5mm of mercury and the research worker takes his sample and gets x=141.8mm of mercury, construct a 98% conﬁdence interval for the mean blood pressure of women in their ﬁfties.
In another pre-election poll, a pollster finds that 442 out of 650 people polled favor Smith. Construct the 95% confidence interval for the proportion (to nearest 0.001) of people in the whole population who favor Smith.
Suppose a researcher is interested in the effectiveness of a new drug intended to naturally increase hours of sleep for elderly patients experiencing insomnia. Suppose he collects information from a group of 64 patients and calculates a σ=.8 and a sample average of 6.4 hours of sleep. Is there sufficient evidence to reject the null hypothesis that his treatment is ineffective at increasing hours of sleep above 5 hours with 95% confidence?
A national opinion poll found that 44% of all American adults agree that parents should be given vouchers good for education at any public or private school of their choice. The result was based on a small sample. How large an SRS is required to obtain a margin of error of 0.03 (that is +/- 3%) in a 95% confidence interval? 1. Do the problem again using the conservative guess of 0.5. By how much do the two sample sizes differ?
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail. A 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694) The store management can be 95% confident that any sample of shoppers would have a proportion of visitors whose visit is because of receiving a coupon be within this confidence interval The store management can be 95% confident that the population proportion of customers visiting the store because they received a coupon is within our confidence interval 95% of customers visiting the store because of receiving a coupon is within our confidence interval
A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who have changed jobs within the past year. a) In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05? b) In a sample of 100 workers, 20 of them had changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who have changed jobs within the past year. c) Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within ±0.05.
A certain article indicates that in a sample of 1,000 dog owners, 680 said that they take more pictures of their dog than their significant others or friends. In addition, 440 said that they are more likely to complain to their dog than to a friend. Suppose that it is reasonable to consider this sample as representative of the population of dog owners. (a) Construct a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends. (Round your answers to three decimal places.) , Interpret the interval. a.There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. b.We are 90% confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. c.We are 90% confident that the mean number…
A certain article indicates that in a sample of 1,000 dog owners, 620 said that they take more pictures of their dog than their significant others or friends. In addition, 470 said that they are more likely to complain to their dog than to a friend. Suppose that it is reasonable to consider this sample as representative of the population of dog owners. (a) Construct a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends. (Round your answers to three decimal places.) ( , ) Interpret the interval choose one. a. We are 90% confident that the mean number of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. b. There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. c. There is a 90% chance…

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