# Lab5 - Lab 5 Assignment SOLUTION Due Wednesday March 5 2008...

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Knapp – Stat 350 Lab #5: Page 1 of 8 Lab 5 Assignment SOLUTION Due Wednesday, March 5, 2008 at the beginning of class The following is what you need to submit for this lab. It should be done using a word processor ( e.g. , Microsoft Word). Conduct the following analyses using SAS. For all tests below, use a significance level of 0.05. The National Center for Education Statistics collects data on undergraduate students enrolled in U.S. colleges and universities. The following table gives counts of undergraduate enrollment in 4 different classifications for program and age group: Program 2-year full-time 2-year part-time 4-year full-time 4-year part-time Age Under 18 36 98 75 37 18 to 21 1126 711 3270 223 22 to 34 634 1575 2267 1380 35 and over 221 1092 390 915 a. Conduct a Chi-Squared Test of Homogeneity to determine whether there is a significant relationship between the age of a student and the type of program they are enrolled in (based on the four classifications). Give the value of the Chi-square statistic, the degrees of freedom, the p -value, and clearly state your conclusion. χ 2 = 2915.1396 df = 9 p -value < 0.0001 Conclusion: There is a statistically significant relationship between a student’s age and the program in which a student is enrolled.

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Knapp – Stat 350 Lab #5: Page 2 of 8 b. Now test whether there is a relationship between the age-group of the student and whether they are enrolled full-time or part-time. Give a 2-way table to summarize the data under these conditions, and then give the value of the Chi-square statistic, the degrees of freedom, the p -value, and clearly state your conclusion. Age full time part time Under 18 111 135 18 to 21 4396 934 22 to 34 2901 2955 35 and over 611 2007 χ 2 = 2770.0743 df = 3 p -value < 0.0001 Conclusion: There is a statistically significant relationship between a student’s age and whether they are enrolled full-time or part-time. c. Now test whether there is a relationship between the age-group of the student and whether they are enrolled in a 2-year program or a 4-year program. Give a 2-way table to summarize the data under these conditions, and then give the value of the Chi-square statistic, the degrees of freedom, the p -value, and clearly state your conclusion. Age 2-year 4-year Under 18 134 112 18 to 21 1837 3493 22 to 34 2209 3647 35 and over 1313 1305 χ 2 = 211.4828 df = 3 p -value < 0.0001 Conclusion: There is a statistically significant relationship between a student’s age and whether they are enrolled in a 2-year or 4-year program. d.
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Lab5 - Lab 5 Assignment SOLUTION Due Wednesday March 5 2008...

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