According to a regional association of medical​ colleges, only 47​% of medical school applicants were admitted to a medical school in the fall of 2011. Upon hearing​ this, the trustees of Striving College expressed concern that only 118 of the 260 students in their class of 2011 who applied to medical school were admitted. The college president assured the trustees that this was just the kind of​ year-to-year fluctuation in fortunes that is to be expected and​ that, in​ fact, the​ school's success rate was consistent with the regional average. Complete parts a through c.  ​a) What are the​ hypotheses? H0​: p

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According to a regional association of medical​ colleges, only 47​% of medical school applicants were admitted to a medical school in the fall of 2011. Upon hearing​ this, the trustees of Striving College expressed concern that only 118 of the 260 students in their class of 2011 who applied to medical school were admitted. The college president assured the trustees that this was just the kind of​ year-to-year fluctuation in fortunes that is to be expected and​ that, in​ fact, the​ school's success rate was consistent with the regional average. Complete parts a through c. 

​a) What are the​ hypotheses?
H0​: p  
a. not equals≠
b. equals=
c. greater than>
d. less than<
HA​: p 
a. less than<
b. not equals≠
c. equals=
d. greater than>
 
​b) Check the conditions and find the​ P-value.
Which assumptions and conditions below are​ met? Select all that apply.
A. The​ 10% condition is met.
B. The independence assumption is met.
C. The randomization condition is met.
D. The​ success/failure condition is met.
 
c) What is the test statistic​ z?
z=
 
d) What is the​ P-value?
p=
 
e) Are the trustees right to be​ concerned, or is the president​ correct? Explain.
The _______________________ because the​ P-value provides ___________________
that the percentage of students in the class of 2011 who applied to medical school were admitted is ________________________________the percentage of admission according to the regional association of medical colleges.
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