Question

Medical School Applicants According to the Association of American Medical Colleges, only 46% of medical school applicants were admitted to a medical school in fall of 2006. Upon hearing this, the trustees of City College expressed concern that only 77 of 180 students in their class of 2006 who applied to medical school were admitted. Should the trustees of City College be concerned that the acceptance rate for their students applying to medical school is significantly less than the national average?

Perform a hypothesis test to answer this question. Use α = 0.05

Answer 1

And Given that: x=0.05. n=180 6 ² = x = 72 x=77 s n 180 = 0.43 - 2 HI: PL0.46 To test hypothesis Ho : p=0.46 US Test statistics Lcal = P - Po [Po (1-P) = 0.43-0.46 10.46 x 0,54 180 = -0.03 0.0371 = -0.8086 Decision Rule & Reject Ho if p-value <%=0.05 1 p. vale = P[ La <Kcal] p20.05 -0.80867 p-value = 0.209373 (from 2-hable) Decision :- Here P-value » d =0.05 he fail to reject to at a=0.05 Conclusion : There is insufficient suidence to reject Ho af x=0.05. It may not be conclude that the acceptance rate for their students applying to medical school is significantly less than than the national average.