e. What is the theoretically expected percentage of the families that should hav

Question

e. What is the theoretically expected percentage of the families that should have four children in a perfect 3:1 ratio? r. How do you account for this low frequency of the expected results? C. Binomial expansion tells us that in families of five children, you may expect 1/32 of the families to consist entirely of boys, 5/32 to consist of 4 boys and I girl, 10/32 to consist of 3 boys and 2 girls, 10/32 to consist of 2 boys and 3 girls, 5132 to consist of 1 boy and 4 girls, and 1/32 to consist entirely of girls. Do the data on such families of five children given in the following table approximate the distribe: Some C Some a class is correc when r 6. related question. tion suggested? Complete the table, calculate X2, and answer the related questions Family Sex Ratio (0-E)(O-EE - All boys 4B: 16 38: 26 2B: 3G 1B: 46 All girls Totals 61. 280 525 494 231 41 Genetics Leb Manual

Explanation / Answer

a. number of degrees of freedom= number of independent variables= 2

b. Yes, as it is quite close to the expected values.

c. Since, all values are deviated less than 5%, they are different due to chance alone.

d.

since, probability of male=female=0.5

as nothing is mentioned only the first four subparts are answered

Ratio O E O-E (O-E)2 (O-E)2/E All boys 61 51 10 100 1.96 4 B 1G 280 255 25 625 2.45 3B 2G 525 510 15 225 0.44 2B 3G 494 510 -16 256 0.50 1B 4G 231 255 -24 576 2.25 All girls 41 51 -10 100 1.96 Total 1632 1632 0 1882 X2= 9.56

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