A recent study of peanut allergies--the LEAP trial-explored whether early exposure to peanuts helps or hurts subsequent
development of an allergy to peanuts. Infants (4 to 11 months old) who had shown evidence of other kinds of allergies were
randomly assigned to one of two groups. Group 1 consumed a baby-food form of peanut butter. Group 2 avoided peanut
butter. At 5 years old, 10 of 307 children in the peanut-consumption group were allergic to peanuts, and 55 of 321 children in
the peanut-avoidance group were allergic to peanuts.
Suppose that researchers had used a = 0.10 instead of a = 0.05.
How would this affect the power of the test? What is a drawback of this change? Select all true statements.
When a is larger, it is easier to reject the null hypothesis
because the P-value doesn't need to be as small.
When a is larger, it is harder to reject the null hypothesis
because the P-value doesn't need to be as small.
A drawback to increasing a is that doing so decreases the
probability of making a Type I crror.
Using a = 0.10 instead of a = 0.05 will increase the
power of the test.
Using a = 0.10 instead of a = 0.05 will decrease the
power of the test.
A drawback to increasing a is that doing so increases the
probability of making a Type I error.