In 2021, many agricultural firms, which reported their profits, had beaten the market-profit estimate. Suppose that a sample of 162 companies showed 104 beat estimates,29 matched estimates, and 29 fell short.(i) Determine the margin of error, and provide a 95% confidence interval for theproportion that beat estimates.(ii) How large a sample is needed if the desired margin of error is .05?O a) (i) The cConfidence interval is exactly between 0.3682 and 0.5158(ii) Around 154O b) (i) The confidence interval is exactly between 0.5682 and 0.7158(ii) Around 354O) None of the answers are correctO d) (i) The confidence interval is exactly between 0.1682 and 0.4158(ii) Around 254O e) (i) The confidence interval is exactly between 0.7682 and 0.9158(ii) Around 554

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Answered: In 2021, many agricultural firms, which…

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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A New York Times article reported that a survey conducted in 2014 included 36,000 adults, with 3.68% of them being regular users of e-cigarettes. Because e-cigarette use is relatively new, there is a need to obtain today's usage rate. How many adults must be surveyed now if a confidence level of 90% and a margin of error of 3 percentage points are wanted? Complete parts (a) through (c) below. a. Assume that nothing is known about the rate of e-cigarette usage among adults. n = 752 (Round up to the nearest integer.) b. Use the results from the 2014 survey. n= (Round up to the nearest integer.)
Suppose you are told that a 95% confidence interval for the average price of a gallon of regular gasoline in your state is from $3.37 to $3.60. Use the fact that the confidence interval for the mean is in the form x − E to x + E to compute the sample mean and the maximal margin of error E. (Round your answers to two decimal places.) x = $ E = $
Based on data from a survey of 1,300 randomly selected Facebook users, a 95% confidence interval for the proportion of all Facebook users who say it is not OK to "friend" someone who reports to you at work is (0.60, 0.64). What is the meaning of the 95% confidence level associated with this interval? If a large number of random samples of size 1,300 were to be taken, % of the resulting confidence intervals would contain the true proportion of all Facebook users who would say it is to "friend" someone who reports to you at work.
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Suppose you are told that a 95% confidence interval for the average price of a gallon of regular gasoline in your state is from $3.37 to $4.18. Use the fact that the confidence interval for the mean is in the form x − E to x + E to compute the sample mean and the maximal margin of error E. (Round your answers to two decimal places.) x=$ E=$
A district official intends to use the mean of a random sample of 150 sixth graders from a very large school district to estimate the mean score that all the sixth graders in the district would get if they took a certain arithmetic achievement test. If, based on experience, the official knows that = 9.4 for such data, suppose that the district official takes her sample and gets = 61.8. Use all the given information to construct a 99% confidence interval for the mean score of all the sixth graders in the district.
One company recently conducted a survey in which 420 women and 420 men were asked "Are you satisfied with the work of the Minister of Health?". Of these, 155 men and 118 women said they were satisfied with the minister's work. Assume that the experimental design was correct. Questions 1 and 2 cover this survey. 1. Find the upper limit of 95% confidence interval for the difference in the proportion of men and women who are happy with the work of the Minister (let men be group 1). 1. 0.03. 2. 0.09. 3. 0.15. 4. It is not possible to apply a normal approach and therefore we can not calculate the confidence interval. 2. What is the rejection area if it is to be examined whether the proportion of men and women who are satisfied with the job of Prime Minister is different (use a = 0.05)? 1. RejectHO efz 1.96. 2. Reject HO if z> 1.64. 3. RejectHO efz> -1.96 or <1.96. 4. Insufficient information provided to answer this.
In a clinical trial, 50 patients who received a new medication are randomly selected. It was found that 10 of them suffered serious side effects from this new medication. Let p denote the population proportion of patients suffered serious side effects from this new medication. Find a point estimate for p. Construct a 95% confidence interval for p: ( ). (Write down all the digits you have from calculator)
A researcher wishes to estimate the percentage of adults who support abolishing the penny . What size sample should be obtained if he wishes the estimate to be within 5 percentage points with 95 % confidence if ( a he uses a previous estimate of 24% ? (b ) he does not use any prior estimates ?

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