in a breeding experiment, chicken with white feathers, small comb were mated and

Question

in a breeding experiment, chicken with white feathers, small comb were mated and the offspring are expected to be ratio 9:3:3:1. where the four categories are (i) white feathers, small comb (WS), (ii) white feathers, large comb (WL, (iii) dark feathers, small comb and (DS), (iv) dark feathers, large comb (DL). If one has 192 offspring to test the validity of the ratio and plans to do a chi-square goodness of fit test, answer the following:

1.) what should be the null hypothesis? 2.) the expected frequency of "DS" is 3) if the chi-square test statistic is 0.56, what is your p-value? 4.) if alpha = 0.05, what is your decision using the p-value approach? 5.) how do you communicate your decision in this case?

Explanation / Answer

1) Null: The population ratio is 9:3:3:1

2) Expected = (3/16) * 192 = 36

3) chi value = 0.56

Dof = 3

So, p value = 0.91

4) p > 0.05

Null is rejected

5) This means population proportion is different from 9:3:3:1

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