11. (7 pts) Earlier we discussed how 30% of people have blue eyes. To test if this is actually the correct percentage, we take a sample of 50 people, 18 of whom have blue eyes. Test if the actual percentage of people with blue eyes is greater than 30% at significance level = .05.

(a) State the null and alternate hypotheses of the test.

(b) Determine the critical value and find the region of rejection.

(c) Calculate the test statistic and perform the hypothesis test.

(d) State your conclusions