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Undergraduate Samples

The data below represents fields of specialization for the randomly selected sample of undergraduate students. Test to determine whether there is a significant difference in the fields of specialization between regions of the country. Use a=.05

Northeast Midwest south west Total
Business 54 65 28 93 240
Engineering 15 24 8 33 80
LiberalArt 65 84 33 98 280
Fine ARt 13 15 7 25 60
Health 3 12 4 21 40

Totals 150 200 80 270 700

1. State the critical value of the chi-square random variable for this test of independence of catagories.
2. Calculate the value of the test statistic.
3. what is the conclusion for the test?

Solution Preview

Hi there
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<br>First, you have to look off of a table of value to calculate the critical chi square value.
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<br>BUT first you have to know what the sample size is (the n)
<br>When you look at the data, you see that there are 5 categories of programs, and 4 categories of locations. The general formula to calculate degree of freedome is as follows:
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<br>df = (r-1)(c-1)
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<br>so in this case, it would be df = (5-1)(4-1) = 4*3 = 12
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<br>Now, you read off of the table the critical value
<br>for a significance of 0.05, the critical value ...

Solution Summary

The solution addresses the representation of fields of specialization for the randomly selected sample of undergraduate students. Test to determine whether there is a significant difference in the fields of specialization between regions of the country. Use a=.05

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