In auction bidding, the "winner's curse" is the phenomenon of the winning (or highest) bid price being above the expected value of the item being auctioned. A study was conducted to see if less-experienced bidders were more likely to be impacted by the curse than super-experienced bidders. The study showed that of the 172 bids by super-experienced bidders, 24 winning bids were above the item's expected value, and of the bids by the 138 less-experienced bidders, 36 win bids were above the item's expected value. Complete parts a through d. a. Find an estimate of p,, the true proportion of super-experienced bidders who fall prey to the winner's curse. P1 = 0.140 (Type an integer or a decimal. Round to three decimal places as needed.) b. Find an estimate of p2, the true proportion of less-experienced bidders who fall prey to the winner's curse. P2 = 0.261 (Type an integer or a decimal. Round to three decimal places as needed.) c. Construct a 90% confidence interval for (p, - P2). (Round to three decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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17) part C
In auction bidding, the "winner's curse" is the phenomenon of the winning (or highest) bid price being above the expected value of the item being auctioned. A study was conducted to see if less-experienced bidders were more likely to be
impacted by the curse than super-experienced bidders. The study showed that of the 172 bids by super-experienced bidders, 24 winning bids were above the item's expected value, and of the bids by the 138 less-experienced bidders, 36 winning
bids were above the item's expected value. Complete parts a through d.
a. Find an estimate of p,, the true proportion of super-experienced bidders who fall prey to the winner's curse.
P1 = 0.140 (Type an integer or a decimal. Round to three decimal places as needed.)
b. Find an estimate of p2, the true proportion of less-experienced bidders who fall prey to the winner's curse.
2 = 0.261 (Type an integer or a decimal. Round to three decimal places as needed.)
c. Construct a 90% confidence interval for (p, - p2).
(Round to three decimal places as needed.)
Transcribed Image Text:In auction bidding, the "winner's curse" is the phenomenon of the winning (or highest) bid price being above the expected value of the item being auctioned. A study was conducted to see if less-experienced bidders were more likely to be impacted by the curse than super-experienced bidders. The study showed that of the 172 bids by super-experienced bidders, 24 winning bids were above the item's expected value, and of the bids by the 138 less-experienced bidders, 36 winning bids were above the item's expected value. Complete parts a through d. a. Find an estimate of p,, the true proportion of super-experienced bidders who fall prey to the winner's curse. P1 = 0.140 (Type an integer or a decimal. Round to three decimal places as needed.) b. Find an estimate of p2, the true proportion of less-experienced bidders who fall prey to the winner's curse. 2 = 0.261 (Type an integer or a decimal. Round to three decimal places as needed.) c. Construct a 90% confidence interval for (p, - p2). (Round to three decimal places as needed.)
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