A study was conducted to determine whether there were significant differences be
ID: 3052017 • Letter: A
Question
A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.6% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem!
If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.
prob = At least 4 digits!
If 12 of the students from the special programs are randomly selected, find the probability that eactly 9 of them graduated.
prob = At least 4 digits!
Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?
yes, it is unusual
no, it is not unusual
If 12 of the students from the special programs are randomly selected, find the probability that at most 9 of them graduated.
prob = At least 4 digits!
Would it be unusual to randomly select 12 students from the special programs and get at most 9 that graduate?
yes, it is unusual
no, it is not unusual
Would it be unusual to randomly select 12 students from the special programs and get only 9 that graduate?
no, it is not unusual
yes, it is unusual
Explanation / Answer
Result:
A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.6% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem!
If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.
prob = 0.77868
If 12 of the students from the special programs are randomly selected, find the probability that eactly 9 of them graduated.
prob = 0.04463
Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?
yes, it is unusual ( it is < 0.05)
If 12 of the students from the special programs are randomly selected, find the probability that at most 9 of them graduated.
prob = 0.05378
Would it be unusual to randomly select 12 students from the special programs and get at most 9 that graduate?
no, it is not unusual ( it is > 0.05)
Would it be unusual to randomly select 12 students from the special programs and get only 9 that graduate?
yes, it is unusual ( p=0.04463 is < 0.05)
Binomial Probabilities Table
X
P(X)
0
0.00000
1
0.00000
2
0.00000
3
0.00000
4
0.00000
5
0.00001
6
0.00010
7
0.00103
8
0.00802
9
0.04463
10
0.16754
11
0.38118
12
0.39750
Binomial Probabilities Table
X
P(X)
0
0.00000
1
0.00000
2
0.00000
3
0.00000
4
0.00000
5
0.00001
6
0.00010
7
0.00103
8
0.00802
9
0.04463
10
0.16754
11
0.38118
12
0.39750
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