Let p be the proportion of cadets who believe there is a Dairy Queen in Altgeld Hall

Let p be the proportion of cadets who believe there is a Dairy Queen in Altgeld Hall. Boyle says it is believed that 20% of cadets believe in the Dairy Queen Altgeld. Santiago thinks the true proportion is actually lower. In a random poll that their captain put together, 32 cadets out of 200 claimed to believe in the Dairy Queen in Altgeld. 

(a) (1 point) Perform an appropriate test at significance level α = 0.05 to test Santiago's claim. 

(b) (0.5 points) Make a 95% two-sided confidence interval for p