Q4. To determine the effectiveness of the advertising campaignfor a new digital video recorder, management would like to knowwhat proportion of the households is aware of the brand. Theadvertising agency thinks that this figure is close to .55. Themanagement would like to have a margin of error of ±.025 at the 99%confidence level.
a) What sample size should be used?
b) A sample of the size calculated in a) has been taken. Themanagement found the sample proportion to be .575. Construct a 99%CI for the true proportion.
c) If someone insists that the true proportion is .59. Basedyour answer to b), would you agree or disagree with this person?Why agree or why not agree?