A newspaper reported on the results of an opinion poll in which adults were asked what one thing they are most likely to do when they are home sick with a cold or the flu. In thesurvey, 62% said that they are most likely to sleep and 10% said that they would watch television. Although the sample size was notreported, typically opinion polls include approximately1,000 randomly selected respondents.

a. Assuming a sample size of1,000 for thispoll, construct a 95% confidence interval for the true percentage of all adults who would choose to sleep when they are at home

sick.

b. If the true percentage of adults who would choose to sleep when they are at home sick is 76%, would you besurprised?