Two Sample Population Confidence Interval: Before an intensive TV advertising campaign, the producers of Nike athletic shoes find that 30 of a random sample of 217 upper-income adults were aware of their new leisure shoe line. A second random sample of 352 such adults is taken after the campaign. Now 122 of the persons sampled can identity the new line. Give a 99% confidence interval for the increase in the proportion of upper income adults showing brand awareness.