4.Historically about 72% of American Indian youth graduate from high school.A new after school program claims to increase the proportion who graduate.If 50 randomly selected youth participated in the program and 39 of them graduated, is this sufficient evidence that over 72% of youth participating in the program graduate?Using a 0.05 level of significance.

a) Show that the sample size is large enough?

b) Display the work to perform the hypothesis test, including the null and alternative hypothesis, the computations, the comparisons, and the conclusion about the null hypothesis? These must show how to compute test statistics used by hand, but p-values can be found with the calculator, if shown the calculator command used.

c)Write one sentence describing the conclusion about the proportion of students in the new program who graduate?