Several states have an annual “sales tax holiday” to encourage spending. A survey of 695 randomly selected shoppers at a large retail center in Texas asked how important people felt the tax holiday was (Am. J. Bus. 2007). 565 shoppers indicated that the tax holiday was important in their decision to shop.

a. Estimate the proportion of all Texas shoppers for whom the tax holiday is important in their decision to shop.
b. In the same study, 195 of 250 men said the tax holiday was important in their decision to shop, compared to 370 of 445 women. Test the hypothesis that women are more likely than men to consider the tax holiday important, at the 5% significance level.