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Is the number of children that a college student cur- rently has independent of

ID: 3225442 • Letter: I

Question

Is the number of children that a college student cur- rently has independent of the type of college or univer- sity being attended? Suppose students were randomly selected from three types of colleges and universities and the data shown represent the results of a survey of those students. Use a chi-square test of independence of answer the question. Let a = .05.

Type of College or University Community Large Small College University College 0 25 178 31 1 49 141 12 Number of Children 2 31 L 3 or more 22

Explanation / Answer

H0: the number of children that a college student cur- rently has independent of the type of college or univer- sity being attended

H1: the number of children that a college student cur- rently has not independent of the type of college or univer- sity being attended

Let the los be alpha = 0.05

The expected frequencies are

The chisquare contributions are

Critical X^2: 9.48772
P-Value: 0.9854

The P-value is 0.9854> alpha 0.05, so we accept H0

Thus, we conclude that   the number of children that a college student cur- rently has independent of the type of college or univer- sity being attended

Community Large Small Total 0 41.998 41.75 41.252 125 1 176.729 175.682 173.589 526 2 794.273 789.568 780.159 2364 Total 1013 1007 995 3015
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