igliili-ECGE 7.1.2: One-tailed hypothesis testing for a population proportion (one sample). Jump to level 1 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 Lesliztm'c (z) 016:: p-value 2 Ex: 1.234 C 3 2 1 0 1 2 3 z 2 Ext 1234 C n = Ex:9 3 Number passed = 82 3 Sample proportion = Ex: 1,234 3 III 2