Question

In: Biology

Determine the Chi Suquare for this table, remember thet yellow mutant is a sex-lincked gene. Show...

Determine the Chi Suquare for this table, remember thet yellow mutant is a sex-lincked gene. Show all the work.

Cross 1: Dumpy Males    x      Yellow Females

Males

Females

Total

Wild Type

23

27

50

Mutant A (Yellow )

14

5

19

Mutant B (Dumpy)

6

7

13

Double Mutant AB

4

2

6

Total

47

41

Solutions

Expert Solution

Cross 1: Dumpy Males x Yellow Females
Males Females Total
Wild Type 23 27 50
Mutant A (Yellow ) 14 5 19
Mutant B (Dumpy) 6 7 13
Double Mutant AB 4 2 6
Total 47 41 88 (Grand Total)

Null hypothesis = The genes for color & height are assorted independently.

Phenotype Number Observed

Number Expected

Wild type male 23 (50 x 47)/88 = 26.70
Wild type female 27 (50 x 41)/88 = 23.30
Mutant A (Yellow) male 14 (19 x 47)/88 = 10.15
Mutant A (Yellow) female 5 (19 x 41)/88 = 8.85
Mutant B (Dumpy) male 6 (13 x 47)/88 = 6.94
Mutant B (Dumpy) female 7 (13 x 41)/88 = 6.06
Double mutant AB male 4 (6 x 47)/88 = 3.20
Double mutant AB female 2 (6 x 41)/88 = 2.80

2 = (Observed - Expected)2/Expected

= (23-26.70)2/26.70 + (27-23.30)2/23.30 + (14-10.15)2/10.15 + (5-8.85)2/8.85 + (6-6.94)2/6.94 + (7-6.06)2/6.06 + (4-3.20)2/3.20 + (2-2.80)2/2.80

= 0.51 + 0.59 + 1.46 + 1.67 + 0.13 + 0.15 + 0.2 + 0.23

= 4.94

Degree of freedom (df) = (number of rows – 1) x (number of columns – 1) = (4-1) x (2-1) = 3 x 1 = 3

We find that probability from 2 distribution table is 0.1 < P < 0.5.

The probability associated with the calculated chi-square value is between 0.10 and 0.50, indicating a high probability that the difference between observed and expected values is due to chance.


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