Consider a drug testing company that provides a test for marijuana usage. Among 251 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative). Use a 0.01 significance level to test the claim that less than 10 percent of the test results are wrong. A.dentify the null and alternative hypotheses for this test. B. Identify the P-value for this hypothesis test. C.Identify the conclusion for this hypothesis test.(reject or fail to reject and why?) D.Does the accuracy rate appear to be acceptable? (is there or is there not sufficent evidance to reject the claim and why?)
Consider a drug testing company that provides a test for marijuana usage. Among 251 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative). Use a 0.01 significance level to test the claim that less than 10 percent of the test results are wrong.
A.dentify the null and alternative hypotheses for this test.
B. Identify the P-value for this hypothesis test.
C.Identify the conclusion for this hypothesis test.(reject or fail to reject and why?)
D.Does the accuracy rate appear to be acceptable? (is there or is there not sufficent evidance to reject the claim and why?)
a.
The hypotheses are given below:
Null hypothesis:
H0: p=0.1.
Alternative hypothesis:
H1:p<0.10.
Since the alternative hypothesis has greater than sign, the test is left-tailed test.
b.
The sample proportion, p-cap is 0.1076(=27/251).
A sample of 251 is considered.
Here, the z-test for single proportion is used.
Calculation:
The test statistic is given and calculated as follows.
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