A large university is curious if they should build a new cafeteria. They plan to survey a sample of their students to see if there is strong evidence that the proportion interested in a meal plan is higher than 40%, in which case they will consider building a new cafeteria. The hypotheses are as follows:
H0 : p= .4
H1 : p> .4
Which of the following would be a Type Il error in this setting?
A. At most 40% are actually interested. The university does not concludes that more than 40% are interested.
B. More than 40% are actually interested. The university does not conclude that more than 40% are interested.
C. At most 40% are actually interested. The university concludes that more than 40% are interested.
D. More than 40% are actually interested. The university concludes that more than 40% are interested