# 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?

https://brainmass.com/statistics/sampling/2860

#### 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