Question

Consider a drug testing company that provides a test for marijuana usage. Among 253 tested​ subjects, results from 27 subjects were wrong​ (either a false positive or a false​ negative). Use a 0.10 significance level to test the claim that less than 10 percent of the test results are wrong.

Identify the test statistic for this hypothesis test.

Answer 1

Sample proportion = 27/253 = 0.1067

Hence,

Test statistic

z = 0.3563