In a breeding experiment, chicken with white feathers, small comb were mated and the offspring categories white feathers, small comb (WS), white feathers. large comb (WL), dark feathers, small comb (DS) and dark feathers, large comb (DL) were expected to follow the ratio 9:3:3:1 the researcher observed that there were 100 WS, 32 WL, 40 DS and 20 DL offspring. In order to test if the observed frequencies follow the expected ratio, what should be the hull hypothesis?
A. P(WS) = 100/192, P(WL) = 32/192, P(DS) = 40/192 , P(DL) = 20/192
B. P(WS) = 100 , P(WL) = 32, P(DS) = 40, P(DL) = 20
C. P(WS) = 9/16 , P(WL) = 3/16, P(DS) = 3/16, P(DL) = 1/16
D. P(WS) = 9, P(WL) = 3, P(DS) = 3 , P(DL) = 1
2. In Problem 1, what would be the degree of freedom for an appropriate test?
A.2
B.3
C.4
D.1
3. What is the value of the computed test statistic in problem 1?
A.7.81
B.3.84
C.6.81
D.5.99
5.What would be the p-value for this test in problem 1?
A.0.28
B.0.05
C.0.08
D. 0.11
6. At 5-% level of significance, how do you communicate your decision in problem 1 based on your analysis?
A. The offspring categories do not follow the ratio 9:3:3:1 and this validates the model.
B.The offspring categories follow the ratio 9:3:3:1 and this does not validate the model.
C.The offspring categories indeed follow the ratio 9:3:3:1 and this validates the model.
D.The offspring categories do not follow the ratio 9:3:3:1 and this does not validate the model.
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