Statistics Homework Solutions
Problem
#2860

Test statistics

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 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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