In a study was conducted concerning the relationship between pet ownership and physical activity in older adults. Of the randomly sampled individuals, 65 subjects reported that they owned a pet while 199 reported that they did not own pet. Give a 99% confidence interval for the proportion of older adults in this population who are pet owners. In the following use 4 decimal places.
a) What is the lower limit of the confidence interval?
b) What is the upper limit of the confidence interval?