Answer:
Test statistic Z = -1.0
|Z| = |-1.0| < 1.96 at 0.05 level of significance.
The null hypothesis is accepted
The company that produces the drug test claims that less than 14% of the test results are wrong
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the population proportion P = 14% =0.14
Given that the sample size 'n' = 382 tests
Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).
Sample proportion
Null hypothesis: H₀ : P = 0.14
Alternative Hypothesis:H₁ : P≠ 0.14
<u><em>Step(ii):-</em></u>
Test statistic
Z = - 1.0
|Z| = |-1.0| < 1.96 at 0.05 level of significance.
<u><em>Final answer:-</em></u>
The null hypothesis is accepted
The company that produces the drug test claims that less than 14% of the test results are wrong