Dunn et al. (1999) also classified the phase II sample by gender. In the following table, the

Question:

Dunn et al. (1999) also classified the phase II sample by gender. In the following table, the entries in columns 3€“7 are the counts from the phase II sample in the categories:
Male Non-Case (MNC), Male Case (MC), Female Non-Case (FNC), and Female Case (FC).

a. Estimate the percentages of persons in each cell of a 2Ã—2 contingency table classified by gender and case/non-case. Find the standard error of each entry in the table.
b. Find the design effect for each cell proportion á¹”ij and marginal proportion (á¹”i+ and á¹”+j) in the table.
c. Use the Rao€“Scott method (Section 10.3.2) to test H0 : pij = pi+p+j .