Question

PROBLEM 1 Suppose you wish to estimate the total number of physicians in the United States. County records of all counties contain the number of physicians in each county. The records furthermore contain information on the county size and the number of residents. A census also determined that in 1993 there were 255,077,536 residents in 3141 counties in the US. The total land area is 3,536,278 square miles. Suppose a random sample of 100 counties #of physicians in county i, Y population in county i. Suppose is obtained. Let X; = 118531, sy we calculate the following sample statistics: 297, sr 159, ỹ = 95687 and p = 0.68 (a) Estimate the ratio of physician to population size and express as the number of physi cians per 1000 inhabitants (b) Calculate the estimated standard error of the ratio estimate in part (a)

Answer 1

Salubion Giren 853 Sy562+ =0 002S04 tu 2S507S36 N 314 c o 002S0y 255077536 G38602 2874

Se (22 se: 4IS.OS eAylN- se y:t tx Se N 341 - 160 18S31 3141 276by6891.6