Question

16 points Miles likes to think of the ABBA song "Take a Chance on Me" as an ode to Math Stats (and the fickle nature of human emotion). He wants to estimate the ratio of the probabilities that an ABBA fan thinks "Take a Chance on Me" is about Math Stats as compared to the probability that non-ABBA fans think "Take a Chance on Me" is about Math Stats. In other words, he wants to estimate PA using pA and find the Variance for this estimate. In Miles' sample of 50 ABBA fans, 20 think "Take a Chance on Me" is about Math Stats, so A 4, nA 50. In Miles' sample of 100 non-ABBA fans, 20 think Take a Chance on Me" is about Math Stats, so PnA .2, nnA-100 Use the delta method to find the approximate Variance for a assuming that the two samples are independent of each other. Show all work.

Answer 1

A u へん<ん tink A 、S tumk A,i ヒA s p.rnlation tr-upor ern ·st ABBA ano smnp nA

h A į gow: oane, d.ff enen baule tor ta ruso fo delta nme tred Usi -hs)

using Dad m lrつ こ0.2