A recent survey on the usage of cosmetics among youth provided the following data: Year: 2004; Sample size: 5000; Youth who use cosmetics: 36%
Year: 2014; Sample size: 4250; Youth who use cosmetics: 47%

Construct a 99% confidence interval for the difference in population proportions of youth who were using cosmetics in 2004 and youth who were using cosmetics in 2014. Assume that random samples are obtained and the samples are independent. (Round your answers to three decimal places.)

z0.10z0.05z0.025z0.01z0.005
1.2821.6451.9602.3262.576
Select the correct answer below:
A. (−0.150,−0.070)
B. (−0.136,−0.084)
C. (−0.140,−0.080)
D. (−0.127,−0.093)