When testing for linkage using a chi-square analysis, what should be the hypothesis?

That the traits are linked.

That the traits are assorting independently.

That each trait is located near the centromere.

That all mutations produce the same phenotype.

That you always assort with a 1:1:1:1 ratio.

That the traits are assorting independently.

The correct hypothesis for testing linkage using a chi-square analysis is "That the traits are assorting independently."

When testing for linkage using a chi-square analysis, the hypothesis should be that the traits are assorting independently. This means that there is no significant association or linkage between the two traits being studied.

To explain how to arrive at this hypothesis, we need to understand the basic concept of linkage and independent assortment. In genetics, linkage refers to the tendency of genes located close to each other on the same chromosome to be inherited together, rather than assorting independently during meiosis. Independent assortment, on the other hand, refers to the random distribution of alleles from different parental genes into gametes.

To determine if two traits are linked or assorting independently, we can perform a chi-square analysis. This statistical test compares the observed data with the expected data and determines whether the deviation between the two is significant enough to reject the null hypothesis.

In this case, the null hypothesis would be that the traits are assorting independently, meaning there is no significant association or linkage between them. On the contrary, the alternative hypothesis would be that the traits are linked.

To perform a chi-square analysis, you would need to collect data on the phenotypes of individuals for the two traits being studied, and then calculate the expected values for each phenotype if the traits were assorting independently. The chi-square test then determines the probability that the observed deviations from the expected values would occur if the null hypothesis (independent assortment) were true.

If the p-value from the chi-square test is below a predetermined significance level (typically 0.05), we reject the null hypothesis and conclude that the traits are linked. On the other hand, if the p-value is above the significance level, we fail to reject the null hypothesis and conclude that there is no evidence to suggest linkage between the traits.

In summary, the correct hypothesis when testing for linkage using a chi-square analysis is that the traits are assorting independently.