3. Confidence Intervals {32 points) a. (8 pts) To better understand the age of the clients, construct the 95% confidence intervals for the proportion of clients in each of the age groups across all years. This will be seven confidence intervals total. Find the point estimates and margins of error (moe) for each interval. Round your answers to three digits. Age Group Point Estimate | Moe 85% Cl for the proportion of age group 18-35 35-44 4554 ] 55 64 65+ (3 pts) What can be concluded about the distribution of the client base across these groups? What is estimated to be the widest possible difference between the proportions of two groups? (8 pts) To better understand how each age group spends on health, construct the 55% confidence interval for the average health dollars in each of the age groups across all years. This will be seven confidence intervals total. Round your answers to three digits. What can be concluded about the average amounts of health dollars Spent across these groups? 85% Cl for the mean health dollars in age group Age Group Point Estimate | Moe 0-17 18-25 26 34 35-44 45-54 55 64 65+ (3 pts) What can be concluded about the average amounts of health dollars spent across these groups? (8 pts) Using the age group with the highest health care expenses, calculate the 95% confidence interval for that age group's expenses in each of the induded years. Include the point estimates and margins of error for each interval. Round your answers to three digits. What can be said about the trends of these expenses, if any. 85% Cl for the mean health dollars in that year Year Point Estimate Moz f. (2 pts) Based on size and variability, which age group of clients might be the hardest to make profitable? Defend your answer using the values calculated