2. {15 points) The superintendent of a school district wishes to determine if there is a difference in the proportion of kindergartners who went to preschool for two different elementary schools. In a simple random sample of 95 kindergartners attending School A, 42 of them had attended preschool. In a simple random sample of 88 kindergartners attending School B, 29 of them had attended preschool. At the 5% significance level, test the claim that the proportion of kindergartners who went to preschool is different at these two elementary schools. 3. (15 points) An auto shop claims that their tune-up service increases gas mileage. Fourteen randomly selected cars had their gas mileage measured before and after the tune-up, with the results (in miles per gallon) displayed in the table below. Test the auto shop's claim at the 1% significance level. Assume that the differences are normally distributed with no outliers. Hint: If we calculate the differences as After - Before, then H1: Ma > 0. If we calculate the differences as Before - After, then H1: Ma