Historically, the pass rate on the state bar exam for attorneys in a specific st

Question

Historically, the pass rate on the state bar exam for attorneys in a specific state has been 55.6%. Since giving the last exam, the state has replaced an old exam training program with a new one. Following the new training program, a random sample of 200 prospective attorneys was selected, and among this sample 58.2% passed the bar exam. Is there sufficient evidence to conclude that there is a change in the proportion or people passing the exam? Carry out a hypothesis test at a 3% significance level.

Explanation / Answer

Compute 1-proportion Z test.

Z=(Ps-Pu)/sqrt [Pu(1-Pu)/N], Where Ps and Pu are sample and population proportion, N is sample size.

=(0.582-0.556)/sqrt[0.556(1-0.556)/200]

=0.74

p value is 0.4593.

p value is not less than alpha=0.03. Therefore, fail to reject null hypothesis, there is not sufficient sample evidence to conclude that there is a chnag ein proportion or people passing the exam.

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