This preview shows page 1. Sign up to view the full content.
Unformatted text preview: y = 103 of the patients had new STDs. Construct and interpret a 95% AgrestiCoull condence interval for the probability of contracting an STD within six months after counseling (as in the study). Answer: From pp. 207208, p = y + 2 n + 4 = 103 + 2 1438 + 4 = 105 1442 = 0 . 0728 . SE p = r p (1 p ) n + 4 = r . 0728(1. 0728) 1442 = 0 . 0068 . So a 95% CI for for the probability of contracting an STD after counseling is p 1 . 96 SE p = 0 . 0728 1 . 96(0 . 0068) = 0 . 0728 . 0133 = (0 . 0595 , . 0861) . We are 95% condent that the true probability of contracting an STD after counseling is between 5.95% and 8.61%. Your books solution to 6.48 rounds to three decimal places instead of four; either is ne....
View
Full
Document
This note was uploaded on 12/14/2011 for the course STAT 205 taught by Professor Hendrix during the Fall '09 term at South Carolina.
 Fall '09
 Hendrix

Click to edit the document details