Using the data over 15 years, a statistician has determined that more than 64% of students who attended David Kaunda, Hillcrest, Mpelembe, Ibenga Girls, and Fatima Girls usually clear all first year courses. A sample survey is conducted in order to check the validity of this claim. Of 400 students who attended these secondary schools, 320 cleared all first year courses. 2 (a) At a = 2.5%, is the statistician's claim valid? (b) At a = 1%, is the statistician's claim valid? (c) Construct a 95% CI for the population proportion.

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