Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
5th Edition
ISBN: 9780134688886
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 7.1, Problem 13BSC
Constructing and Interpreting Confidence Intervals. In Exercises 13-16, use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval.
Mickey D's In a study of the accuracy of fast food drive-through orders, McDonald's had 33 orders that were not accurate among 362 orders observed (based on data from QSR magazine). Construct a 95% confidence interval for the proportion of orders that are not accurate.
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Constructing and Interpreting Confidence Intervals. In Exercises 13–16, use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval.
Survey Return Rate In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 5000 subjects randomly selected from an online group involved with ears. 717 surveys were returned. Construct a 90% confidence interval for the proportion of returned surveys.
Constructing and Interpreting Confidence Intervals. In Exercises 13–16, use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval.
Medical Malpractice In a study of 1228 randomly selected medical malpractice lawsuits, it was found that 856 of them were dropped or dismissed (based on data from the Physicians Insurers Association of America). Construct a 95% confidence interval for the proportion of medical malpractice lawsuits that are dropped or dismissed.
Constructing and Interpreting Confidence Intervals. In Exercises 13–16, use the given sample data and confidence level. In each case, (a) find the best point estimate of the population proportion p; (b) identify the value of the margin of error E; (c) construct the confidence interval; (d) write a statement that correctly interprets the confidence interval.
Mickey D’s In a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders that were not accurate among 362 orders observed (based on data from QSR magazine). Construct a 95% confidence interval for the proportion of orders that are not accurate.
Chapter 7 Solutions
Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
Ch. 7.1 - Poll Results in the Media USA Today provided...Ch. 7.1 - Prob. 3BSCCh. 7.1 - Constructing and Interpreting Confidence...Ch. 7.1 - Prob. 17BSCCh. 7.1 - Critical Thinking. In Exercises 17-28, use the...Ch. 7.1 - Critical Thinking. In Exercises 17-28. use the...Ch. 7.2 - Prob. 1BSCCh. 7.2 - Prob. 9BSCCh. 7.2 - Prob. 14BSCCh. 7.2 - Prob. 19BSC
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- Critical Thinking. In Exercises 17–28, use the data and confidence level to construct a confidence interval estimate of p, then address the given question. Gender Selection Before its clinical trials were discontinued, the Genetics & IVF Institute conducted a clinical trial of the XSORT method designed to increase the probability of conceiving a girl and, among the 945 babies born to parents using the XSORT method, there were 879 girls. The YSORT method was designed to increase the probability of conceiving a boy and, among the 291 babies born to parents using the YSORT method, there were 239 boys. Construct the two 95% confidence interval estimates of the percentages of success. Compare the results. What do you conclude?arrow_forwardCritical Thinking. In Exercises 17–28, use the data and confidence level to construct a confidence interval estimate of p, then address the given question. Births A random sample of 860 births in New York State included 426 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.512. Do these sample results provide strong evidence against that belief?arrow_forwardCritical Thinking. In Exercises 17–28, use the data and confidence level to construct a confidence interval estimate of p, then address the given question. Fast Food Accuracy In a study of the accuracy of fast food drive-through orders, Burger King had 264 accurate orders and 54 that were not accurate (based on data from QSR magazine). a. Construct a 99% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the result from part (a) to this 99% confidence interval for the percentage of orders that are not accurate at Wendy’s: 6.2% <p < 15.9%. What do you conclude?arrow_forward
- in general, when computing for confidence interval for the mean, what happens as the confidence level is increased? a. the constructed confidence interval gets narrower b. the margin error decreases c. the standard error increases d. the constructed confidence interval widensarrow_forwardWhich are more informative confidence intervals or significance tests? A. Confidence intervals,because they use a sample information B. Confidence intervals becuase they estimate the population parameter C. Significance tests, becuase they use a p-value D. Significance tests, becuase they comapre two hypothesesarrow_forwardDiamond Pricing. In a Singapore edition of Business Times, diamond pricing was explored. The price of a diamond is based on the diamond’s weight, color, and clarity. A simple random sample of 18 one-half-carat diamonds had the following prices, in dollars. 1676 1442 1995 1718 1826 2071 1947 1983 2146 1995 1876 2032 1988 2071 2234 2108 1941 2316 a. Apply the t-interval procedure to these data to find a 90% confidence interval for the mean price of all one-half-carat diamonds. Interpret your result. (Note: — x = $1964.7 and s = $206.5.)b. Obtain a normal probability plot, a boxplot, a histogram, and a stem-and-leaf diagram of the data.c. Based on your graphs from part (b), is it reasonable to apply the t-interval procedure as you did in part (a)? Explain your answer.arrow_forward
- Critical Thinking. In Exercises 17–28, use the data and confidence level to construct a confidence interval estimate of p, then address the given question. Nonvoters Who Say They Voted In a survey of 1002 people, 70% said that they voted in a recent presidential election (based on data from ICR Research Group). Voting records show that 61% of eligible voters actually did vote. a. Find a 98% confidence interval estimate of the proportion of people who say that they voted. b. Are the survey results consistent with the actual voter turnout of 61%? Why or why not?arrow_forwardAdvertising and Sales. use the technology of your choice to obtain the requested point estimate and confidence interval for the mean total sales, and the predicted value and prediction interval for total sales for television advertising of $9.5 million, magazine advertising of $4.3 million, and radio advertising of $5.2 million.arrow_forwardFrum Data Set VI in Appendix B. select a sample of 20 values and find the 90% confidence interval of the mean of the number of acres. Find the mean of all the values, and determine if the confidence interval contains the mean.arrow_forward
- Bank Breakup. In a nationwide survey, conducted by Pulse Opinion Research, LLC for Rasmussen Reports, a sample of American adults were asked whether they favor a plan to break up the 12 megabanks, which currently control about 69% of the banking industry; 50% of those sampled responded in the affirmative. According to the report, “the margin of sampling error is +/-3 percentage points with a 95% level of confidence.” Find and interpret a 95% confidence interval for the percentage of all American adults who favor a plan to break up the 12 megabanks.arrow_forward2-C. Construct and interpret a confidence interval to estimate the mean height of the population. You must first write the formula for the confidence interval and then substitute your appropriate numbers. Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 Height (inches) 69 67 67 64 68 69 58 74 70 Shoe Size 10 9.5 10 9 9.5 11 6 11.5 10.5arrow_forwardDATA ANALYSIS PROBLEM SOLVING The sample mean and standard deviation for a sample of size 49 are 35 and 14, respectively. Using this information, create a 99% confidence interval for the population mean.arrow_forward
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