Homework Answers
Ho: p1=p2=p3=p4
Ha: Ho is not true
Applying chi square test:
| relative | observed | Expected | residual | Chi square | |
| category | frequency(p) | Oi | Ei=total*p | R2i=(Oi-Ei)/√Ei | R2i=(Oi-Ei)2/Ei |
| 1 | 0.250 | 15.000 | 8.500 | 2.23 | 4.971 |
| 2 | 0.250 | 9.000 | 8.500 | 0.17 | 0.029 |
| 3 | 0.250 | 6.000 | 8.500 | -0.86 | 0.735 |
| 4 | 0.250 | 4.000 | 8.500 | -1.54 | 2.382 |
| total | 1.000 | 34 | 34 | 8.118 |
| test statistic X2 = | 8.118 | |
| for 0.01 level and 3 degree of freedom Critical value= | 11.345 | ||||
fail to reject HO , there is not convincing,,,,,,,,
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there is a color preference.
c) fail to reject ho, there is convincing evidence that there
is a color preference.
d) reject ho, there is not convincing evidence that there is a
color preference.
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