A university wants to determine whether a recently hired instructor (Instructor I) is working out. Nineteen (19) out of 30 of “Instructor I” students passed a certain test on the first try. In...

A university wants to determine whether a recently hired instructor (Instructor I) is working out. Nineteen (19) out of 30 of “Instructor I” students passed a certain test on the first try. In comparison, 57 out of 72 of more experienced “Instructor II” students passed the test on the first try. Use the appropriate test at α = 0.05 level of significance to answer the following question: Is the success rate of “Instructor II” greater than success rate of “Instructor I”?

a. Yes because p value is 0.047.

b. No because p value is 0.047

c. No because p value is 0.102

d. Yes because p value is 0.102