Q. It is estimated that 20% of US households own a ROTH IRA. The American Association of University Professors (AAUP) believes that this figure is higher among their members. To this this, they commission a study. In a random sample of 1,000 members, 230 say that they own a ROTH IRA. At the 5% significance level, is there evidence to support AAUP's claim? 

Q. There is a belief that the amount of meat put on a Chipotle burrito is different between the Peach Street and 12th Street locations. To test the claim, a customer randomly samples 31 burritos at the Peach Street location and 36 burritos at the 12th Street location. The average amount of meat at the Peach Street location was 4.2 ounces while the average amount of meat at the 12th Street location was 3.9 ounces. The population standard deviation (at both locations) was 0.5 ounces. At the 1% significance level, is there evidence to support the claim that the amount of meat on the burritos at the two locations is different?