3. After completing a statistical analysis of a survey of 40 students, the principal
of North High School made the following conclusion: reject the null hypothesis;
there is convincing evidence that more than 50% of students support a schedule
change to have lunch occur earlier in the day. Which error could have been
committed?
(A) Type I error: Conclude that more than 50% of students want earlier lunch, when
50% or less want earlier lunch.
(B) Type l error: Conclude that more than 50% of students want earlier lunch, when
more than 50% want earlier lunch.
(0) Type Il error: Fail to reject that 50% of students want earlier lunch, when more than
50% want earlier lunch.
(D) Type Il error: Fail to reject that 50% of students want earlier lunch, when 50% or less
want earlier lunch.
(E) Type Il error: Fail to reject that more than 50% of students want earlier lunch, when
50% or less want earlier lunch.​