Homework Answers
1)
Sample can be collected based on the observed frequeny
| observed frequencey, O | expected proportion | expected frequency,E | (O-E) | (O-E)²/E | |
| 107 | 0.240 | 84.24 | 22.76 | 6.149 | |
| 83 | 0.200 | 70.20 | 12.80 | 2.334 | |
| 44 | 0.130 | 45.63 | -1.63 | 0.058 | |
| 41 | 0.160 | 56.16 | -15.16 | 4.092 | |
| 36 | 0.130 | 45.63 | -9.63 | 2.032 | |
| 40 | 0.140 | 49.140 | -9.14 | 1.700 |
chi square test statistic,X² = Σ(O-E)²/E =
16.366
level of significance, α= 0.01
Degree of freedom=k-1= 6 -
1 = 5
P value = 0.0059 [ excel function:
=chisq.dist.rt(test-stat,df) ]
Decision: P value < α, Reject Ho
Hence there is difference between expected and observed.
Please let me know in case of any doubt.
Thanks in advance!
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