Scenario: A market researcher for a consumer electronics company wants to study the television viewing habits of residents of a particular area. A random sample of 40 respondents is selected, and each respondent is instructed to keep a detailed record of all television viewing in a particular week. The results are as follows:
Viewing time per week: X = 15.3 hours, S = 3.8 hours.
27 respondents watch the evening news on at least three weeknights.
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 3 weeknights per week.
Please see the attachments for the complete solution.
A) Thus with 95% confidence we can claim that ...
This solution provides the step by step method required for calculating the confidence interval for the mean and proportion of the given scenario. Formula for the calculations and Interpretations of the results are also included. An interactive excel sheet is included. The user can edit the inputs and therefore, use this data sheet in the future to obtain the complete results for a new set of data of a similar nature.