Question

Please only solve (a) and (b), thank you very much！

55. For two factors-starchy or sugary, and green base leaf or white base leaf-the following counts for the progeny of self-fertilized heterozygotes were observed (Fisher 1958); Type Count Starchy green Starchy white Sugary green Sugary white 1997 906 904 32 According to genetic theory, the cell probabilities are .25(2 +0), 25(1 – 0), .25(1 - 0), and .250, where 8(0 < < 1) is a parameter related to the linkage of the factors. V a. Find the mle of 8 and its asymptotic variance. b. Form an approximate 95% confidence interval for 8 based on part (a). r ise the bootstran to find the annoyimnta net

Answer 1

Solis e know that MLE of o for the given problem is c=o-036 Now using this MLE of o ceo and multiplying the resulting the probabilities by sizen we Calculate expected counts ire., Ep = np. a - 38 39 XP. count. 1997. Pe 0.509 0.24) 0.241 0.009 1 Ei 1954 925 १२६ 3.5 oi-ci) ? 1849 361 पप) 906 Type Staachy green Starchy White Starchy green Istarchy white Total (©:-6;) 904 32 3839 1849 1954 - 0.9463 361 = 0.9903 925 44) 925 +0.4768 -0.2571d blocs de corch

x’statistie - 03-23 270.3903 to.4768 to.257) - 9.0705 (6) %*-2) (005) = x60-05) = 10.6 (1-06 100% of X Z values are in this interval XI-a/2 Xa degrees of freedom df=4-2=72 estimated focom Since one paramea o has been Observation data) - The hypothesis that the dit to be rejected. is good is failed