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For the year 2010, 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized O deductions on their federal Income tax return. The mean amount of deductions for this population of O taxpayers was $16,642. Assume that the standard deviation is a = $2,600. If required, round your answer to two decimal places. (a) What are the sampling distributions of x for itemized deductions for this population of taxpayers for each of the following sample sizes: 30, 50, 100, and 400? E(x) = n 30 50 100 400 (b) What is the advantage of a larger sample size when attempting to estimate the population mean? A larger sample - Select your answer - : the standard error and results in a(n) - Select your answer - * precise estimate of the population mean.round your answer to four decimal places. (a) Suppose a sample of 300 primary care doctors was taken. Show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care. np = n(1-p) = E(p) = (b) Suppose a sample of 500 primary care doctors was taken. Show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care. np = n(1-p) = E(p) = (c) Suppose a sample of 1,000 primary care doctors was taken. Show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care. np = n(1-p) = E(p) = (d) In which of the preceding three cases, part (a) or part (b) or part (c), Is the standard error of p smallest? Why? The standard error is the smallest in | - Select your answer - : because , isOne of the questions on a survey of 1,000 adults asked if today's children will be better off than their parents. Representative data are shown In the file named ChildOutlook. A response of Yes indicates that the adult surveyed did think today's children will be better off than their parents. A response of No indicates that the adult surveyed did not think today's children will be better off than their parents. A response of Not Sure was given by 23% of the adults surveyed. Click on the datafile logo to reference the data. DATA file (a) What is the point estimate of the proportion of the population of adults who do think that today's children will be better off than their parents? If required, round your answer to two decimal places. (b) At 95% confidence, what is the margin of error? If required, round your answer to four decimal places. (c) What is the 95% confidence interval for the proportion of adults who do think that today's children will be better off than their parents? If required, round your answers to four decimal places. Do not round your intermediate calculations. to (d) What is the 95% confidence interval for the proportion of adults who do not think that today's children will be better off than their parents? If required, round your answers to four decimal places. Do not round your intermediate calculations. to (e) Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? Why? The confidence interval in part - Select your answer - : | has the smaller margin of error. This is because p is- Select your answer - + 0.5.The Pew Research Center Internet Project conducted a survey of 1,057 Internet users. This survey provided a variety of statistics on them. If required, round your answers to four decimal places. (a) The sample survey showed that 90% of respondents said the Internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally. to (b) The sample survey showed that 67% of Internet users said the Internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends. to (c) Fifty-six percent of Internet users have seen an online group come together to help a person or community solve a problem, whereas only 25% have left an online group because of unpleasant interaction. Develop a 95% confidence interval for the proportion of Internet users who say online groups have helped solve a problem. to (d) Compare the margin of error for the interval estimates in parts (a), (b), and (c). How is the margin of error related to the sample proportion? The margin of error | - Select your answer - : as p gets closer to .50.\fLast year, 46% of business owners gave a holiday gift to their employees. A survey of business owners Indicated that 45% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. (a) How many business owners in the survey plan to provide a holiday gift to their employees? (b) Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter "0". Do not round your intermediate calculations. (c) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts has decreased? We - Select your answer - * the null hypothesis. We - Select your answer - * conclude that the proportion of business owners providing gifts has decreased. What is the smallest level of significance for which you could draw such a conclusion? If required, round your answer to four decimal places. If your answer is zero, enter "0". Do not round your intermediate calculations. The smallest level of significance for which we could draw this conclusion Is ; because p-value is - Select your answer - : |the corresponding o, we - Select your answer - : the null hypothesis.Chiare Nate University Prefertion Management (1240) Spring IS Exam Tera J. The following data are annual disposable Income and intal amental cuntumption four Is families selected at a random from a large metropolitan area Regard annual disposable income as the explanatory variable aint total annual consumption as the dependent variable. From the regression ofy on E, answer the questions that follow Annual Disposable Total Annual Income (5) (x) Consumption ($] [v) INC CON'S 14.000 30.000 24.545 43,000 36,776 70,000 63,254 56,DO0 40,176 50,000 49.548 16,000 16,000 26000 22.386 14,000 16,032 12,000 12,000 24,000 20.768 34,780 ulate the following: Slope ( by) Y-Intercept (bal Cumulative Sum of Forecast Error (CFE) Mean Square Error (MSE) Standard Deviation What is the sample regression equation relating sales to advertising? If ADV Increases by $ 1000, what would be the resulting change your prediction of SALES?11]. A proposed project lasts three years and has an initial investment of $200,000. The aftertax cash ows are estimated at 360,000 for year 1, $120,000 for year 2, and $135,000 for year 3. The rm has a target debtfeq uity ratio of 1.2. The rm's cost of eo uityr is 14% and its cost of debt is 9%. The tax rate is 34%. What is the NP'tIr of this project? A. 612.30 B. $13.63? C. 53?}23 0. 346,120 E. 551136 168. Daniel's Enterprises has a beta of 1.93 and a growth rate of 12 96. The stock is currently selling for $12 a share. The overall stock market has an 11 91': rate of return and a risk premium of 3 %. What is the expected rate of return on Daniel's Enterprises stodc? A. 10.00 96 E. 16.36 % C. 16.6? % D. 13.34 % E. 19.06 91': 134. The common stock of a firm is currerrtly priced at $53 a share. The company paid 51.40 in common dividends last year and expects to increase this amount by 3% annually. The stock has a beta of 1.40, which is about equal to its industry average. Given this information, what is the cost of equity nancing? A. 3.31% 3. 6.64% C. 6.10% D. 630% E. 3.01%