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 the? survey, 61% said that they are most likely to sleep and 19% said that they would watch television. Although the sample size was not? reported, typically opinion polls include approximately? 1,000 randomly selected respondents.
a. Assuming a sample size of? 1,000 for this? poll, construct a 95% confidence interval for the true percentage of all adults who would choose to sleep when they are at home sick.
The 95?% confidence interval is ??(Round to the nearest hundredth as? needed.)