A survey of 13,364 students in a country who enrolled in private career colleges

Question

A survey of 13,364 students in a country who enrolled in private career colleges was conducted to understand student participation in the private postsecondary educational system. In one part of the survey, students were asked about their field of study and about when they entered college. Here are the results.

In this table, the second column gives the number of students in each field of study. The next two columns give the marginal distribution of time of entry for each field of study.

The survey also asked about how these college students paid for their education. A major source of funding was government loans. Here are the survey percents of private students in the country who use government loans to finance their education by field of study.

(a) Construct the 6 2 table of counts for this exercise.

State the 2 statistic, degrees of freedom, and the P-value. (Round your answer for 2 to one decimal place and your P-value to four decimal places.)

(d) The number of students reported in this exercise is not the same as the number reported in the first table. Suggest a possible reason for this difference.

Field of
Study Number of
Students Time of Entry Right After High School Later Trades 942 34% 66% Design 584 47% 53% Health 5085 40% 60% Media/IT 3148 31% 69% Service 1350 36% 64% Other 2255 52% 48%

Explanation / Answer

a)

b)

Test Statistic, X^2: 97.5125

Degrees of freedom: 5

P-Value: 0.0000

d) Here P-value < alph a0.05, There is no association beteween the Percent Using Government Loans and Field of Study

The number of students reported in this exercise is not the same as the number reported in the first table

Field of Study Yes No Total Trades 424 518 942 Design 317 282 599 Health 2868 2346 5214 Media 1770 1448 3218 Service 827 551 1378 Others 1086 1224 2310 Total 7292 6369 13661

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