Rice is one of the most widely consumed grain worldwide. As increasing global te

Question

Rice is one of the most widely consumed grain worldwide. As increasing global temperatures hamper rice production, scientists are searching varieties exhibiting some degree of heat resistance. The HT54 variety of the indica rice, Oryza sativa, was found to tolerate several days of high temperatures to 48 degrees Celsius (118 degrees Fahrenheit) during its growth. Researchers performed a genetic crossing experiment between the heat-resistant HT54 variety and a control variety, HT13, without heat resistance. All seedlings in the first generation survived a heat challenge of 48 degrees Celsius. In the second generation only 548 of the 744 plants survived the heat challenge. This would suggest heat resistance is carried by a single gene with a dominant allele and a recessive allele. Are the findings consistent with a simple dominant-recessive Mendelian gen etic model in which F2 is made up of 75% dominant-trait (heat resistance) and recessive-trait rice plants?

a)Perform this test with a GOF(goodness of fit) method.  

Explanation / Answer

applying chi square goodness of fit test:

for above chi stat 0.717 and 1 degree if freedom ; p value =0.3972

as p value is very high, we can not reject that above model follows   simple dominant-recessive Mendelian gen etic model

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E heat resistant 0.750 548.00 558.00 0.18 recessive trait 0.250 196.00 186.00 0.54 744 744 0.717

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