2. A survey company is hired to estimate the proportion of county households that own three or more automobiles. They conducted their survey using a simple random sample of 50 randomly selected households and found that 24% of those households owned three or more automobiles. Answer the following questions, giving reasons for your answers. (16 pts) (a) Is the proportion, 24%, a parameter or a statistic? (b) If this survey company were to continually choose simple random samples of 50 randomly selected households, each time recording the proportion of household in the sample owning three or more automobiles, what would be the "shape" of the resulting distribution of all these sample proportions? (before answering, check that np 2 10, n (1-p) 2 10) 1 (c) If we would like to construct a 95% confidence interval and would like the margin of error to be within 0.02, estimate the sample size n. (Use p = 0.5)