Question

In: Statistics and Probability

Consider a drug testing company that provides a test for marijuana usage. Among 343 tested​ subjects,...

Consider a drug testing company that provides a test for marijuana usage. Among 343 tested​ subjects, results from 30 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 percent of the test results are wrong.

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

Upper H 0​: pequals0.1

Upper H 1​: pnot equals0.1

B.

Upper H 0​: pless than0.1

Upper H 1​: pequals0.1

C.

Upper H 0​: pequals0.1

Upper H 1​: pgreater than0.1

D.

Upper H 0​: pequals0.1

Upper H 1​: pless than0.1

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

​(Round to two decimal places as​ needed.)

Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is

​(Round to three decimal places as​ needed.)

Identify the conclusion for this hypothesis test.

Solutions

Expert Solution

As we fail to reject the null hypothesis, we conclude that the the claim is false that the less than 10% results are wrong.

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