At one large university, 78% of all students who entered in 2004 graduated within six years. Out of a sample of 190 students on athletic scholarships, 137 of them graduated within six years. We are investigating whether there is evidence that the percentage of athletes who graduate within six years is less than 78%. The P-value is 0.025. If our significance level is 0.05, what is the correct conclusion?

At one large university, 78% of all students who entered in 2004 graduated within six years. Out of a sample of 190 students on athletic scholarships, 137 of them graduated within six years. We are investigating whether there is evidence that the percentage of athletes who graduate within six years is less than 78%. The P-value is 0.025. If our significance level is 0.05, what is the correct conclusion?



(A) The proportion of all students on athletic scholarship who graduate within six years is equal to 0.78.
(B) The proportion of all students on athletic scholarship who graduate within six years is greater than 0.78.
(C) The proportion of all students on athletic scholarship who graduate within six years is equal to 0.025.
(D) The proportion of all students on athletic scholarship who graduate within six years is less than 0.78.

Answer: (D) The proportion of all students on athletic scholarship who graduate within six years is less than 0.78.


Learn More :