Suppose that we want to estimate what proportion of gift items purchased at a department store are returned for a refund, and that we want to be "at least 95% sure" that the error of our estimate will be less than 0.05. How large a sample will we need if a. we have no idea what the true proportion might be? b. we know that the true proportion is between 0.01 and 0.20?
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- In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.The western United States has a number of four-lane interstate highways that cut through long tracts of wilderness. To prevent car accidents with wild animals, the highways are bordered on both sides with 12-foot-high woven wire fences. Although the fences prevent accidents, they also disturb the winter migration pattern of many animals. To compensate for this disturbance, the highways have frequent wilderness underpasses designed for exclusive use by deer, elk, and other animals. In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side. To…Please answer this question. Thx!In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data: B: Percent increasefor company 24 25 25 18 6 4 21 37 A: Percent increasefor CEO 21 23 22 14 −4 19 15 30 a) State the null and alternate hypotheses. select one:H0: ?d ≠ 0; H1: ?d = 0H0: ?d = 0; H1: ?d ≠ 0 H0: ?d = 0; H1: ?d < 0H0: ?d = 0; H1: ?d > 0H0: ?d > 0; H1: ?d = 0 b) What sampling distribution will you use? What…
- For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a survey of 1000 large corporations, 242 said that, given a choice between a job candidate who smokes and an equally qualified nonsmoker, the nonsmoker would get the job. (a) Let p represent the proportion of all corporations preferring a nonsmoking candidate. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 0.95 confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit (c) As a news writer, how would you report the survey results regarding the proportion of corporations that would hire the equally qualified nonsmoker? Report p̂.Report the margin of error. Report p̂ along with the margin of error. What is the margin of error based on a 95% confidence interval? (Round your answer to three decimal places.)In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data: B: Percent increasefor company 24 25 25 18 6 4 21 37 A: Percent increasefor CEO 21 25 22 14 −4 19 15 30 What is the value of the sample test statistic? (Round your answer to three decimal places.)=__ (c)Find (or estimate) the P-value. A-P-value > 0.500 B-0.250 < P-value < 0.500 C- 0.100 < P-value < 0.2500.050 <…
- If the current value for XI and Xu while using the Bi-section method are 4.1 and 5.3 respectively, then the corresponding approximate relative error : is .A O 6.97% .B 1.61% .C 12.77% .D can not tell .E NoneFor this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a survey of 1000 large corporations, 256 said that, given a choice between a job candidate who smokes and an equally qualified nonsmoker, the nonsmoker would get the job. (a) Let p represent the proportion of all corporations preferring a nonsmoking candidate. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 0.95 confidence interval for p. (Round your answers to three decimal places.) lower limit: upper limit:In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data:
- Solve the following problems. Show your complete solution.How large a sample is needed to estimate the population proportion for each of the following?a. ME = 0.05; α = 0.01b. ME = 0.05; α = 0.10c. Compare and comment on your answers to parts a and b.In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data: B: Percent increasefor company 24 25 27 18 6 4 21 37 A: Percent increasefor CEO 21 23 24 14 −4 19 15 30 Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance. (Let d = B − A.) What is…