a. What is the best estimate for the standard error of the sampling distribution? b. What is the value of Z for this confidence interval? c. What is the margin of error for this confidence interval?
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Q: a. What is the best estimate for the standard error of the sampling distribution? b. What is the…
A: Given,n=1504x=963p^=xnp^=9631504=0.64031-p^=1-0.6403=0.3597α=1-0.95=0.05α2=0.025Z0.025=1.960 (from…
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- A Pew Research Center report on gamers and gaming estimated that 49% of U.S. adults play video games on a computer, TV, game console, or portable device such as a cell phone. This estimate was based on a random sample of 2001 U.S. adults. Construct and interpret a 95% confidence interval for the proportion of all U.S. adults who play video gamesA Businessweek/Harris survey asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of full-time employees at your company over the next 12 months?" In the current survey, 220 of 400 executives answered Yes, while in a previous year survey, 192 of 400 executives had answered Yes. Provide a 95% confidence interval estimate for the difference between the proportions at the two points in time (to 4 decimals).A Businessweek/Harris poll asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of full-time employees at your company over the next 12 months?" In the current survey, 230 of 500 executives answered Yes, while in a previous year survey, 196 of 500 executives had answered Yes. Provide a 95% confidence interval estimate for the difference between the proportions at the two points in time (to 4 decimals). Do not round your intermediate calculations. .0000 to .1366 What is your interpretation of the interval estimate? Approximately ( 14% more executives are predicting an increase + in full-time jobs. The confidence interval shows the difference may be from 14% to 0%
- A Businessweek/Harris poll asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of full-time employees at your company over the next 12 months?" In the current survey, 230 of 500 executives answered Yes, while in a previous year survey, 197 of 500 executives had answered Yes. Provide a 95% confidence interval estimate for the difference between the proportions at the two points in time (to 4 decimals). Do not round your intermediate calculations. to What is your interpretation of the interval estimate? Approximately 7% more executives are predicting an increase in full-time jobs. The confidence interval shows the difference may be from 0% to 13% Hide Feedback Partially CorrectAccording to a poll, 81% of California adults (411 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California.What is a point estimate for the true population proportion?A doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night. To investigate, he selects a random sample of 50 high school seniors from all high schools in his county. He also selects a random sample of 50 seniors from the colleges in his county. He constructs a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. The resulting interval is (0.57, 1.25). Based upon the interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night? yes because 1 is in the confidence interval yes because 0 is not in the confidence interval no because 1 is in the confidence interval no because 0 is not in the confidence interval
- According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this percent is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. Suppose we want to calculate a 99% confidence interval for the difference between the proportions of Californians and Oregonians who are sleepdeprived. 1. State the critical value for the interval (3 decimal places): 2. State the difference between the sample proportions, POregon-PCalifornia (3 decimal places): 3. State the standard error of the difference between the proportions (3 decimal places): 4. State the confidence interval being sure to use proper notation (3 decimal places each):The U.S. Department of Labor and Statistics released the current unemployment rate of 5.1% for the month in the U.S. and claims the unemployment has not changed in the last two months. However, the states’ statistics reveal that there is a decrease in the U.S. unemployment rate. A test on unemployment was done on a random sample size of 950 and found unemployment at 3.7%. Find a 98% confidence interval for the true unemployment rate based on this sample Interpret the interval and give your conclusion about the U.S. governments claimAs part of the Pew Internet and American Life Project,, researchers conducted two surveys in late 2009. The first survey asked a random sample of 800 U.S. teens about their use of social media and the Internet. A second survey posed similar questions to a random sample of 2253 U.S. adults. In these two studies, 584 of the teens and 1059 of the adults said that they use social networking sites. Construct a 95% confidence interval for the difference in population proportions.