For Questions , use the following narrative
Narrative: Talent and gender
Suppose a talent contest is looking for people who can either sing or act.900 people tried out for the first round of auditions, 300 women and 600 men.Of the men who tried out, 55% of them were allowed to go on to the next round, compared to 42% of the women.However, if you break the data down by singing versus acting auditions, the relationship changes.For acting, 20% of the women made it through, compared to 15% of the men; for singing, 85% of the women made it through, compared to 75% of the men.
-{Talent and gender narrative}What is the statistical phenomena that occurred in this situation?
A)A statistical error; these results cannot be correct.
B)Simpson's Paradox.
C)The Empirical Rule.
D)Selection Bias.

Question

Quizplus · Accepted Answer

Simpson's Paradox occurred in this situation because the relationship between the gender and the success rate changed when the data was broken down by singing and acting auditions. While men had a higher success rate overall, women had a higher success rate for singing auditions and a lower success rate for acting auditions, leading to a reversal of the overall trend.

For Questions , Use the Following Narrative