I need detailed solution about this. (AMS 315 Data Analysis) Thank you. A geneti

Question

I need detailed solution about this. (AMS 315 Data Analysis) Thank you.

A genetics research team found the genotypes on a single nucleotide polymorphism (SNP) with alleles A and B for a sample of 850 unaffected participants. They found that 33 participants appeared to have genotype AA, 306 appeared to have genotype AB, and 511 appeared to have genotype BB. Use this data to test the null hypothesis that this SNP appears to be in Hardy-Weinberg Equilibrium (HWE). Use levels of significance alpha = 0.05, 0.01, 0.001. From the data, p_A = 0.2189 and X^2_1 = 2.38. Accept at the 0.10, 0.05, and 0.01 levels of significance.

Explanation / Answer

Null Hypothesis : H0 : The given genotype distribution follows the hardy Weingburg equilibrium.

ALternative Hypothesis : Ha : The given genotype distribution doesn't follow the hardy Weingburg equilibrium.

The Hardy–Weinberg principle, also known as the Hardy–Weinberg equilibrium, model, theorem, or law, states that allele and genotype frequencies in a population will remain constant from generation to generation in the absence of other evolutionary influences.

so here expected value of AA genotype = N pA2 = 850 * (0.2189)2 = 40.73

expected value of AB genotype = N pA (1-pA ) = 850 * 2 *(0.2189) * (1-0.2189) = 290.67

expected value of BB genotype = N (1-pA )2 = 850 * (1-0.2189) = 518.60

Here the given table is of Observed and expected value and the chi- square

Here value of X2 = 2.387

so for different values of alpha and dF = 2

alpha = 0.1 = > X2critical = 4.605

alpha = 0.05 = > X2critical = 5.991

alpha = 0.01 = > X2critical = 7.378

alpha = 0.001 = > X2critical = 13.816

so for each significane level, we cannot reject the null hypothesis and conclude that given genotype distribution follows the hardy Weingburg equilibrium.

Genotype Observed Expected (Oi-Ei)^2 (Oi-Ei)^2/Ei AA 33 40.73 59.7529 1.467 AB 306 290.67 235.0089 0.809 BB 511 518.6 57.76 0.111 850 850 2.387

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.