1. A researcher claims that women who eat blue M&M candies have a better chance of having a baby boy, and 50 such women gave birth to 27 boys and 23 girls. What conclusion should be drawn? Use only the rare event rule and make a subjective estimate to determine whether the event is likely. Do not use formal procedures or exact calculations here. 2. For the following, write out the claim that is suggested along with an appropriate conclusion about the claim. Do not use symbolic expressions or formal procedures here. Instead, use common sense. a. The rate of Lyme disease cases in Clinton County is 2%. When 1000 people from that county are given a placebo, it is found that 22 of them contract Lyme disease. When 1000 people from that county are given a new experimental vaccine, it is found that 18 of them contract Lyme discase. b. In a test of the polio vaccine, 200,000 children are given a placebo and 200,000 other children are given the Salk vaccine. Among those in the placebo group, 115 later develop polio. Among those given the Salk vaccine, 33 later develop polio.