In: Statistics and Probability
Ho: distribution is same as expected
Ha: distribution is different from expected
observed frequencey, O | expected proportion | expected frequency,E | (O-E) | (O-E)² | (O-E)²/E |
12 | 0.130 | 10.79 | 1.21 | 1.46 | 0.136 |
15 | 0.140 | 11.62 | 3.38 | 11.42 | 0.983 |
25 | 0.130 | 10.79 | 14.21 | 201.92 | 18.714 |
10 | 0.240 | 19.92 | -9.92 | 98.41 | 4.940 |
5 | 0.200 | 16.60 | -11.60 | 134.56 | 8.106 |
16 | 0.160 | 13.280 | 2.72 | 7.40 | 0.557 |
chi square test statistic,X² = Σ(O-E)²/E =
33.436
l
Degree of freedom=k-1= 6 -
1 = 5
P value = 0.000 [ excel
function: =chisq.dist.rt(test-stat,df) ]
Decision: P value < α, Reject Ho