Question: A social scientist is curious about the relationship between common psychological ailments and the order of birth of children. The contingency table below shows the number of children that are either neurotics or psychotic based on whether they have siblings or are the only children in their families.

a. Write down the null and alternative Hypothesis associated with the claim

b. Assuming a significance level of 0.05, write down the critical value(s) associated with the hypothesis of this claim.

c. Calculate the test statistics for the claim.

d. Assuming a significance level of 0.05, is mental illness (disease) independent of the position in the family?

AILMENT Only Child Siblings Total

Psychotics

Neurotics

Total