We are testing whether babies are born in equal proportions in all birth seasons (spring, summer, fall, winter). We have a sample of 200 children in which 50 were born in the spring, 50 in the summer, 60 in the fall, and 40 in the winter. Determine the following:

a) null hypothesis

b) expected value

c) chi-square

d) df

e) critical value of chi-square for 3 degrees of freedom for the .05 level

f) whether the distribution is significantly different statistically from the counts specified in the null hypothesis