Question

The company Drug Test Success provides a "1-Panel-THC" test for marihuana usage. Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.) Use a 0.05 significance level to test the claim that less than 10% of the test results are wrong

Answer 1

Answer:

There is evidence for the claim that less than 10% of the test results are wrong

Step-by-step explanation:

Given that the company Drug Test Success provides a "1-Panel-THC" test for marihuana usage.

Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.)

Sample proportion = $\frac{27}{300} \\=0.09$

H0: p = 0.10

Ha: p <0.10

(left tailed test)

p difference = 0.09-0.10 = -0.01

Std error = $\sqrt{0.1*0.9/300} \\=0.005196$

z statistic = -1.9245

p value = 0.027

Since p <0.05 we reject H0

There is evidence for the claim that less than 10% of the test results are wrong