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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 Observations 100 Confidence Level 0.99 Critical value 2.33 test statistic (z) 2.54 p = Ex: 1.234 p-value 0.0055 O T Ex: 1.234 n = Ex: 9 Number passed = Ex: 9 Sample proportion p = Ex: 1.234