Question 9 2 pts 3. Polio is a very severe illness that can cause paralysis in its victims. The most famous Polio victim was Franklin D. Roosevelt. In 1954 a randomized experiment was conducted on the effectiveness of a vaccine to prevent Polio. The real vaccine was given to 200,745 children and a fake vaccine was given to 201,229 children. The results showed that 33 of the children given the vaccine developed polio whereas 115 of the children not given the vaccine developed polio. Answer parts (a) through (c). 3(a). Draw a contingency table that compares vaccine type and whether or not the children developed polio. Developed polio: Developed polio: Total Yes No Real 33 200745 200778 vaccine Fake 115 201229 201344 vaccine Total 148 401974 402122Question 10 2 pts 3H1]. Round your answers to 6 decimal places. Calculate the conditional proportion that a vaccinated child developed polio. 0.13005}! Calculate the conditional proportion that a child given the fake vaccine deveioped polio. 1What was the reduction in risk of polio for the children given the real vaccine? Question 11 1 pts 3[c}. Even though the risk of developing polio for unvaccinated children was very small. the vaccine was considered a huge success. Calculate the percent reduction in risk {round the answer to 1 decimal place} 96 Hint. At the end of the Handout 4.3 you will nd how to calculate a percent reduction in risk {it is the same as percent decrease in risk}