6. Consider a world where there is no relationship between eating jellybeans and lung cancer. Suppose
that 50 independent studies set out to find statistical evidence of a jellybean*cancer relationship and
the researchers in each study are willing to accept a 5% chance of committing a Type I Error; that is, a
5% chance of incorrectly rejecting the null hypothesis of no relationship. Which of the following gives,
to the fourth decimal place, the probability that at least one of the 50 studies will find a statistically
significant relationship between jellybeans and lung cancer (even though in the world considered,
there is no such link!).
A. 0.0003
B. 0.05
C. 0.25
D. 0.5188 E. 0.9231
F. 0.9997