Select the correct answer.
The table shows the total number of student applications to universities in a particular state for a random sample of 12 semesters.
Semester Student Applications
(in thousands)
1 106
2 137
3 285
4 120
5 202
6 195
7 327
8 139
9 307
10 318
11 212
12 217
States base their decisions on data like this. Suppose a state decides that if fewer than 200,000 students apply during 6 or more semesters, the state will make a special effort to promote university education. Using this data, what is the sample proportion of semesters for which the number of student applications is less than 200,000?
A.
42%
B.
20%
C.
33%
D.
There is insufficient data to answer this question.
To find the sample proportion of semesters for which the number of student applications is less than 200,000, we need to count the number of semesters in which the number of student applications is less than 200,000 and divide it by the total number of semesters.
Looking at the table, the semesters for which the number of student applications is less than 200,000 are as follows:
Semester 1: 106 (less than 200,000)
Semester 2: 137 (less than 200,000)
Semester 4: 120 (less than 200,000)
Semester 6: 195 (less than 200,000)
Semester 8: 139 (less than 200,000)
Semester 11: 212 (less than 200,000)
Semester 12: 217 (less than 200,000)
There are a total of 7 semesters in which the number of student applications is less than 200,000.
Therefore, the sample proportion of semesters for which the number of student applications is less than 200,000 is 7/12, which is equal to 0.5833.
Converting this to a percentage, we get 58.33%.
So, the correct answer is: D. 58.33%