94.9k views
2 votes
N a test population of 1000 people, 210 display hemophilia. you hypothesize that this trait follows mendelian genetics with a 3:1 ratio of non- hemophilia to hemophilia. use the χ2 test to determine whether the data support the hypothesis or not. show your steps and explain your reasoning.

User Kuffs
by
7.9k points

1 Answer

4 votes
According to the 3:1 ratio, you expect, out of a population of 1000 people, 750 non-hemophilia and 250 hemophilia.

The chi-square value can be calculated by the formula:

\chi^(2) = ((O - E)^(2))/(E)

where:
O = observed value = 210
E = expected value = 250

Therefore:
χ² = (210 - 250)² / 250
= 6.4

Now, look at a χ² distribution table, in order to find the p-value. In this case, you have only 1 degree of freedom and the closest χ² is 6.6 which corresponds to a p-value of 0.01.

Since p < 0.05, which is the minimum value generally accepted, we can say that the data do not support the hypothesis.


User BertLi
by
7.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories