00:01
For this problem, we are told that radiologists are often asked to predict the gender of a baby from ultrasound images made during pregnancy.
00:08
We're told that the authors of a paper followed up on 157 predictions made by a particular radiologist, a radiologist 1, to determine whether or not they were correct.
00:18
And we have data from the paper summarized in the table given.
00:22
We're asked, based on the data for radiologist 1 and the data in the accompanying table for radiologist 2, well, you're supposed to write a paragraph comparing the accuracy of gender predictions made by the two radiologists, but it seems like we have sort of fill in the blanks deal here.
00:40
So for radiologist one, probability prediction is male, given that the baby is male.
00:46
So the way that we would do that is we would take the predicted male and baby is male, so that's 73, divide that by the total number of male babies.
01:00
So 73 over 73 plus 12.
01:03
So 0 .859.
01:05
That's correct.
01:06
Then for radiologist 2, that would be 81 over 81 plus 9.
01:14
So again, 0 .9.
01:16
So we would have that radiologist 1 is worse than radiologist 2.
01:20
Then for radiologist 1, prediction is female given baby is female.
01:25
So that would be predicted female, 58, divided by total number of female babies, 14 plus 58.
01:35
So that's 0 .80...