1. An investment firm survey included the finding that 52% of 150 clients describing themselves as "very aggressive" investors said they were optimistic about the near-term future of the stock market, compared to 46% of 100 describing themselves as "moderate" and 38% of 100 describing themselves as "conservative." Use the 0.01 level in testing whether the three population proportions could be the same.
2. According to a study by the Pew Research Center, 75% of adults 18-30 said they went online daily, compared with 40% of those 65-74, and just 16% for those 75 or older. Using the 0.01 level of significance, and assuming that a random sample of 200 persons was surveyed from each age group, could the population proportions be equal for those who say they go online daily from the three groups? Source: "Poll Finds Generation Gap Biggest Since Vietnam War," USA Today, June 29, 2009, p. 7A.