3. A new (pilot) television show in the US was shown to a random sample of the US audience. After the (5pt) viewing, each viewer was asked to rate the television show. Results in this sample are shown below: Rating Frequency Poor 15 Below Average 12 Average 27 Above Average 57 Excellent 39 Based on the provided sample data: a. Determine sample proportion of viewers who would rate this show as "better than average" for this data set. b. Give the point estimate for the proportion of all the US's audience who would rate this show as "better than average" for the case that the television show is shown to all the US population. Describe the property of sampling distribution that help you to reach this answer. c. Calculate the 95% confidence interval for the proportion of the US's viewers who would rate this show as "better than average"