Effect of sample size The purpose of this next problem is to

Effect of sample size. The purpose of this next problem is to see the effects of differing sample sizes in a chi-square test. Assume that the observed proportions for a 2-way contingency table arc as given below Complete the following table assuming (a) that the total number of observations is 10 and (b) that the total number of observation is 100. Be sure to show your work.

Solution

Total 10 Total 100 Test statistic 0.476 4.7619 degrees of freedom 1 1 critical value 3.84 3.84 p-value 0.49015 0.0291 Are the row and column variables independent Yes No    Column1   Column2   Total   Row1 Observed   1 4 5 Expected   1.50 3.50 5.00 (O - E)