1.Greenville County, South Carolina, has396,183adult residents, of which80,987are65years or older. A survey wants to contactn=689 residents.

-If repeated simple random samples of689residents are taken, what would be the range of the sample proportion of adults over65in the sample according to the95part of the68-95-99.7 rule?Give your answers to four decimal places.

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 audiobooks). A Pew Research Center survey of1502adults nationwide conducted January 8-February 7, 2019, found that1081of those surveyed had read a book in either print or digital format in the preceding 12 months.

(You may regard the1081adults in the survey who had read a book in the preceding 12 months as a random sample of readers.)

Of1081surveyed who had read a book in the preceding12months,105had read only digital books.

STATE: Among those adults who had read a book in the preceding12months, what can you say with95%confidence about the percent of adults who had read digital books exclusively.

PLAN: Let prepresent the proportion of adults who had read only digital books out of all adults who had read a book in the preceding12months. We want to estimate? by a95%confidence interval.

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

-95% confidence interval:

3. 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 the32subjects in the study,22selected the wine presented first when presented with two identical wine samples.

How large a sample would be needed to obtain a margin of error0.05in the study of choice order for tasting wine? (Use95% confidence.)

SOLVE: Use p =0.6875 and 95% confidence level to find the sample size, ?. Give your answer rounded up to the nearest whole number.

- n=