Question

Please write assumptions/ hypothesis if there are any. Use Mu as well when writing the Ho or Ha. Also,please show ALL work inculding how you found it on the table. Thank you so much!

4 (7pts). Find: (a) the expected frequencies for the cell (Group 2, No) only; (b) the y2-contribution for that cell only. Yes No Total Group 1 56 44 132 200 Group 3 100 Total 260 140 400 100 Group 2 68 72 28

Answer 1

This is a Chi square test of independence.

Ho: The two variables are not dependent.

Ha: The two variable are dependent.

(a) Expected frequency =( Row total * coloum total) / grand total

Expected frequency cell (Group 2, No) = (140 * 200) / 400 = 70

ANS: Expected frequency = 70

(b) Chi square for that cell :

$\chi^{2} = {\frac{(O-E)^{2}}{E}} = \frac{(68- 70)^{2}}{70}$

$\chi^{2} =$ 0.057

ANS : $\chi^{2} =$ 0.057

Note : As part of the solution, there is no need for mentioning hypothesis, have still mentioned it.

Also mu is not applicable in Chi square test.