Prospective jurors for court trials are selected from a jury pool summoned each day.

] Prospective jurors for court trials are selected from a jury pool summoned each day. The pool is drawn from the population of registered voters in the county. For each summon issued and also for each selection of a juror from the jury pool, let  denote the probability that a person living in the east side of the county is selected. 

a) A random sampling of 12 prospective jurors contains 1 person from the east side. Report the P-value for testing the null hypothesis that =0.2 using Wald test. This null hypothesis is suggested by that the fact that 20% of the population of the registered voters in this county living in the east side. 

b) The entire jury pool consisting of all 400 registered voters who were summoned to report for possible jury duty, there were 68 persons from the east side. Construct a 90% Wald confidence interval for .