A sociologist claimed that the number of girls in families with four kids

A sociologist claimed that the number of girls in families with four kids has a binomial distribution with n=4 and success probability p=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.

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

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