A competency test is modified so that the proportion of test-takers that pass is more than 75%. A simple random sample of test-takers is collected to determine if the proportion of passers is greater than 75%. The results of the sample are shown below. Competency test sample passed 82 Observations 100 Confidence Level 0.95 Critical value 1.64 test statistic (z) 1.72 p-value 0.053 p-value = Ex: 1.234 + -3 -2 -1 0 1 2 3 Z = EX: 1.234 n = Ex: 9 Number passed = Ex: 9 Sample proportion p = Ex: 1.234