project assignment

A sociologist claimed that the number of girls in families with four kids has a binomial distribution with n=4 and success probability =0.5. Her 40 students went out in their respective neighborhoods, identified families with four kids and recorded the number of girls in those families. The data is summarized below.

# Girls	0	1	2	3	4	Total
# Families	8	46	115	112	39	320

a) Conduct a test for H0: =0.5 against the two-sided alternative using Wald test. Report P-value.

b) Construct a 90% Wald confidence interval for .