A market researcher for consumer electronics company desires to study the television viewing habits of residents of particular area. A random sample of 40 respondents is chosen, and each respondentent is instructed to keep detailed record of all television viewing in a particular week. The results are as follows:
- Viewing time per week: X (with line over top) = 15.3 hours, S = 3.8 hours.
- 27 respondents watch the evening news on a least three week nights.
a. Construct a 95% confidence interval estimate for the mean amount of television watched per week in this area.
b. Construct a 95% confidence interval estimate for the population proportion who watch the evening news on at least three week nights per week.