Suppose we are interested in estimating the proportion p of a population that has a certain disease. As in Section 2.3 let y;-1 if person i has the disease, and yi 0 if person i does not have the dis...
Suppose we are interested in estimating the proportion p of a population that has a certain disease. As in Section 2.3 let y;-1 if person i has the disease, and yi 0 if person i does not have the disease. Then p . a Show, using the definition in (2.13), that 22 N- np If the population is large and the sampling fraction is small, so that write (2.26) in terms of the CV for a sample of size 1....
Suppose we are interested in estimating the proportion of a population using a simple random sample of size n. i. State a suitable estimator of the population proportion as well as its sampling distribution. Mention any assumptions which you make. ii. Explain statistically how to determine the minimum sample size necessary to estimate a population proportion to within e units. iii. Provide a practical marketing example of a 95% confidence interval for a proportion. iv. Explain the purpose of the...
(c) In certain problems, we are interested in the proportion of a population that lies between certain limits. Such limits are called tolerance limits. Consider the random variable P, which is the proportion of the population that lies between Xa and X(n), the smallest and largest values of a random sample of size n taken from the population. Our goal is to find the PDF of P i. Using the joint PDF of Xa) and X) found in part (b)...