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8) What type of analysis would you use to determine whether students represent five selected counties...

8) What type of analysis would you use to determine whether students represent five selected counties in roughly equal proportions, a university official randomly selects a group of 95 university students and finds that 60 of them came from the 5-county area. The distribution of the students across the five counties is given below. Options

Independent Samples t-test

Dependent Samples t-test

Oneway Analysis of Variance (ANOVA)

Correlation

Chi-Square Goodness of Fit (One Sample Chi-Square)

Chi-Square Test of Indpendence
Card County Mountain View
County		 Stirling County Garden County Welling County
15 8 12 10 15
Math   Statistics-And-Probability   
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Answer #1

Ans:

Chi-square Goodness of fit

Observed(fo) Expected(fe) (fo-fe)^2/fe
Card country 15 12 0.75
Mountain view 8 12 1.33
Stirling County 12 12 0.00
Garden County 10 12 0.33
welling County 15 12 0.75
Total 60 60 3.17

Test statistic:

Chi square=3.17

df=5-1=4

Assume alpha=0.05

critical chi square=CHIINV(0.05,4)=9.488

As,test statistic is less than critical value,so we fail to reject the null hypothesis and we can conclude that students represent five selected counties in roughly equal proportions.

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