1. You are going to conduct a pilot study to determine if the population of people in Harford County is in favor of a particular controversial referendum. The results of this small study will determine if a major survey and analysis will be required. Your pilot study consisted of 50 people. Of these, 32 are in favor of the referendum and the rest are not. a. Give a point estimate of the population proportion of people in favor of the referendum. Construct a 90% confidence interval for this proportion. b. The commitice you work for decides that, if the confidence interval you just came up with includes the proportion .70 within it, a full-blown survey through Harford County is needed. The committee wants an error of no more than .05. Use the data from your pilot study - specifically the proportion you calculated in Part 2a.=- to determine the number of people in your survey. Your committee wants to be at a 95% confidence. (Hint: Use the P you calculated in Part 2a for the sample size formula.) C. With the sample size you just calculated, you take your large sample throughout the county. The results show that 72% of the people in your sample favor the referendum. Construct a 99% confidence interval for the proportion of people in Harford County who favor the referendum