Greenville County, South Carolina, has 396,183 adult residents, of which 80,9877 are 65 years or older. A survey wants to contact =689residents. If repeated simple random samples of 689689 residents are taken, what would be the range of the sample proportion of adults over 6565 in the sample according to the 95 part of the 68-95-99.7rule? Give your answers to four decimalplaces

2)Although an increasing share of Americans are reading ebooks on tablets and smartphones rather than dedicated ereaders, print books continue to be much more popular than books in digital format (digital format includes both ebooks and audio books). A Pew Research Center survey of 1502 adults nationwide conducted January 8-February 7, 2019, found that 1081of those surveyed had read a book in either print or digital format in the preceding 12months.

(You may regard the 1081adults in the survey who had read a book in the preceding 12 months as a random sample ofreaders.) Calculate a confidence interval for the population proportion of adults who have read a book in either print or digital format in the preceding 12 months. Provide the interval in the form of (lower bound ,upper bound). Give the bounds to four decimalplaces.

b)Let represent the proportion of adults who had read only digital books out of all adults who had read a book in the preceding 12months. We want to estimate with a 95% confidenceinterval.

SOLVE: Calculate a confidence interval for the proportion. Provide the interval in the form of .(lower bound, upper bound). Give the bounds to four decimalplaces.

3)A highschool teacher in a lowincome urban school in Worcester, Massachusetts, used cash incentives to encourage learning in his AP Statistics class. In 2010, 1515 of the 6161 students enrolled in his class scored a 55 on the AP Statistics exam. Worldwide, the proportion of students who scored a 55 in 2010 was 0.15. Is this evidence that the proportion of students who would score a 55 on the AP Statistics exam when taught by the teacher in Worcester using cash incentives is higher than the worldwide proportion of0.15?Find the test statistic . Give your answer to two decimalplaces. Find the -value associated with the statistic. Give your answer to four decimalplaces.

4)Does the order in which wine is presented make a difference? In this study, subjects were asked to taste two wine samples in sequence. Both samples given to a subject were the same wine, although subjects were expecting to taste two different samples of a particular variety. Of the 32subjects in the study, 22selected the wine presented first when presented with two identical winesamples.

How large a sample would be needed to obtain margin of error 0.05 in the study of choice order for tasting wine? (Use 95%confidence.)Use =0.6875 and 95%confidence level to find the sample size, .Give your answer rounded up to the nearest wholenumber.