l5 - STAT 350 Fall 2008 Lab #5 Solution DUE: Friday,...

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Unformatted text preview: STAT 350 Fall 2008 Lab #5 Solution DUE: Friday, October 24th @ the beginning of class Conduct the following analyses using SAS. For all tests below, use a significance level of 0.05. The marketing department at a technical college wanted to conduct an analysis of its current enrollment. The following table gives counts of the college's students 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 Under 18 5 5 8 4 18 to 21 82 71 198 22 22 to 34 63 157 227 138 Age 35 and over 22 57 39 92 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. 2 = 162.7233 df = 9 p-value < 0.0001 Conclusion: There is a statistically significant relationship between the age of a student and the type of program he/she is enrolled in. In other words, age and program are not independent. Lab #5 Solution Page 1 of 9 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. full-time part-time Under 18 13 9 18 to 21 280 93 22 to 34 290 295 Age 35 and over 61 149 2 = 124.1684 df = 3 p-value < 0.0001 Conclusion: There is a statistically significant relationship between the age of a student and whether the student is enrolled full- or part-time. In other words, age and full/part- time status are not independent. 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. 2-year 4-year Under 18 10 12 18 to 21 153 220 22 to 34 220 365 Age 35 and over 79 131 2 = 1.6570 df = 3 p-value = 0.6465 Conclusion: There is NO statistically significant relationship between the age of a student and whether the student is enrolled in a 2- or 4-year program. In other words, age and 2-/4-year program are independent. Lab #5 Solution Page 2 of 9 d. Now test whether there is a relationship between whether a student is enrolled in a 2-year or 4-year program and whether the student is 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....
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l5 - STAT 350 Fall 2008 Lab #5 Solution DUE: Friday,...

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