A multiple
-choice test question has four possible responses. The questionis designed to be very
difficult, with none of the four responses being obviouslywrong, yet with only one correct
answer. It first occurs on an exam taken by 400 stude
nts. The designers test whether more
people answer the question correctly than would be expected justdue to chance (i.e., if
everyone randomly guessed the correct answer).
a)
Set up the hypotheses for the test.
b)
Of the 400 students, 125 correctly answer
the question. Find the P
-value, and interpret.
c)
Make a decision about H0, using α = .05. Based on this decision,what can you conclude
about the parameter?
