2.. (7 marks) In a breeding experiment, white chickens with small combs were mat

Question

2.. (7 marks) In a breeding experiment, white chickens with small combs were mated and produced 190 offspring of the types shown in the table below Dark feathers DS 36 Test at = .10 to determine if these data are inconsistent with the Mendelian theory that White feathers WS 109 White feathers WL 35 Dark feathers DL 10 small comb arge combsmall comblarge comb Total 190 93:3:1. Write a concluding sentence (Hint: Ho: #WS : #WL : #DS : #DL -3/16, P3 = 3/ 16, p4 = 1/ 16). Do the calculation by hand and show your work. p,-9/16, p2

Explanation / Answer

H0: The data are consistent with the Mendelian theory that WS: WL: DS:DL = 9:3:3:1

H1: The data are inconsistent with the Mendelian theory that WS: WL: DS:DL = 9:3:3:1

Let the los be alpha = 0.10

The expected frequency are calculated as 190 * ratio/16 as the following table

Num Categories: 4
Degrees of freedom: 3

Test Statistic, X^2: 0.3532

Critical X^2: 6.251395
P-Value: 0.9497

Here Chisquare value < Chisquare critical value and p-value > alpha 0.10, so we accept H0

Thus we conclude that the data are consistent with the Mendelian theory that WS: WL: DS:DL = 9:3:3:1

Observed Expected Freq (Oi) Prob Freq (Ei) (Oi-Ei)^2 /Ei 109 9/16 106.875 0.042251462 35 3/16 35.625 0.010964912 36 3/16 35.625 0.003947368 10 1/16 11.875 0.296052632 Total: 190 0 190 0.353216374

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