Draw a contingency table for a chi square test of linkage. Assuming that you fin
ID: 205106 • Letter: D
Question
Draw a contingency table for a chi square test of linkage. Assuming that you find your chi square value to be 4.0 (with one degree of freedom), are your genes linked? If so, how far apart are they?
Explanation / Answer
Null hypothesis: Ho: The genes are linked.
Alternate hypothesis: H1: The genes are not linked.
F1 cross was female “Xsn/car Xsn/car” crossed to male “Xsn+/car+ Y”
F1 result: Xsn/car Xsn+/car+ (wild type females-straight bristles, red eyes) and Xsn/car Y (sn car males-singed bristles, carnation eyes)
F2 cross: Xsn/car Xsn+/car+ crossed to Xsn/car Y
Results are given in the table:
Observed (O)
Expected (E)
(O-E)^2
2= (O-E)^2/E
sn car
65
50
225
4.5
sn car+
35
50
225
4.5
sn+car
40
50
100
2
sn+ car+
60
50
100
2
Total is 200
2=
13
Chi square calculated value is 13.
Note that null hypothesis is accepted if calculated value is less than tabulated value.
Degrees of freedom = (rows-1) (columns-1) = (4-1) (4-1) = 9
Let the level of significance be 0.05
Tabulated value = 16.92
Now, because the calculated value is less than the tabulated value, so, null hypothesis is accepted. The genes ‘sn’ and ‘car’ are linked.
Suppose the chi-square value was 4 (as given), then, also the null hypothesis would be accepted and the genes would be linked (explanation given above).
Distance between the two genes = (number of recombinants / total) * 100 = (35 + 40) /200 *100 = 37.5mu
Observed (O)
Expected (E)
(O-E)^2
2= (O-E)^2/E
sn car
65
50
225
4.5
sn car+
35
50
225
4.5
sn+car
40
50
100
2
sn+ car+
60
50
100
2
Total is 200
2=
13
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