3. (7 points) A public polling agency conducts a survey to determine what percent of consumers are optimistic about the state of the economy. a) [1] Define the parameter of interest.b) [4] [2] Determine the number of consumers that need to be sampled in order to estimate the parameter to be within 0.01 of its true value with 90% confidence. c) [2] What do you think about your proposed sample size. What do you suggest to reduce the sample size