Are people born in certain seasons more likely to be allergic to dust mites? Research suggests that this might be true. The table below gives the birth seasons of 500 randomly selected people who are allergic to dust mites, along with the proportion of births in the general population for each season.

a. state the appropriate hypotheses the researchers are interested in testing

b. give the expected count for each birth season

c. the x² statistic is 14.1039. Determine the p-value and interpret it in the context of the problem

d. relative to the proportion of births in the general population, which season contributes the most to the chi-square statistic

Number of Proportions of births Birth Season allergy sufferers in general population Winter 117 0.30 Spring 105 0.22 Summer 145 0.24 Fall 133 0.24