A random sample of 725 shoppers showed that 635 remained loyal to their favorite brands during the last year. Construct a 99% confidence interval for the proportion of shoppers that remain loyal to their favorite brands.

Point Estimate:

x bar

p hat

x bar 1 - x bar 2

p1 - p2

=(round to 4 decimal places)

Margin of Error: E =(round to 4 decimal places)

Lower Limit:(round to 4 decimal places)

Upper Limit:(round to 4 decimal places)

We are% confident that the true

population mean

population proportion

difference in population means

difference in population proportions

is betweenand.