If there is no seasonal effect on humanbirths, we would expect equal numbers of children to be born in each season(winter, spring,summer, andfall). A student takes a census of her statistics class and finds that of the 120 students in theclass,21were born inwinter,37inspring,33insummer, and 29in fall. She wonders if the excess in the spring is an indication that births are not uniform throughout the year.

a) What is the expected number of births in each season if there is no"seasonal effect" onbirths?

b) Compute the chi squared2statistic.

c) How many degrees of freedom does the chi squared2statistichave?