(p. 163). The Stats NZ Tatauranga Aotearoa estimates that in the 12 months to December 2020, there were 1911 lambs and 377 adult sheep on sheep farms across the country. Let p represent the true proportion of all adult sheep in the 12 months of December 2020.

a. Find the point estimate of p.

b. Find a 95% confidence interval for p.

c. Interpret the confidence interval in part

b. d. Explain the theoretical meaning of the confidence interval, .95.