A quality engineer samples 100 steel rods made on mill \(A\) and 150 rods made on mill \(B\). Of the rods from mill \(\mathrm{A}, 88\) meet specifications, and of the rods from mill B, 135 meet specifications.

a. Estimate the proportion of rods from mill \(\mathrm{A}\) that meet specifications, and find the uncertainty in the estimate.

b. Estimate the proportion of rods from mill B that meet specifications, and find the uncertainty in the estimate.

c. Estimate the difference between the proportions, and find the uncertainty in the estimate.