A researcher compares bone density in retired professional athletes across three different sports.He computes a series of three t tests to examine all between-group differences, running each test with a p level of 0.01.What is the probability of a Type I error when making these comparisons?
A) 0.03 or a 3 percent chance
B) 0.01 or a 1 percent chance
C) 0.000001 chance, so small it is not cause for concern
D) 0.9703 or a 97 percent chance

Question

Quizplus · Accepted Answer

When conducting multiple t-tests, the probability of a Type I error increases with each test. The probability of at least one Type I error across three tests is calculated as 1 - (1 - 0.01)^3 = 0.0297, approximately 0.03 or a 3 percent chance.

A Researcher Compares Bone Density in Retired Professional Athletes Across