Question

Consider a drug testing company that provides a test for marijuana usage. Among 305 tested subjects,...

Consider a drug testing company that provides a test for marijuana usage. Among 305 tested subjects, results from 26 subjects were wrong (either false positive or a false negative) Use a .5 significance level to test the claim that less than 10% of the test results are wrong. Identify the test statistic and the P value for this hypothesis test.

Homework Answers

Answer #1

Solution :

Given that,

Point estimate = sample proportion = = x / n = 0.085

This a left (One) tailed test.

The null and alternative hypothesis is,

Ho: p = 0.10

Ha: p < 0.10

Test statistics

z = ( - ) / *(1-) / n

= ( 0.085 - 0.10) / (0.10*0.90) /305

= -0.873

P-value = P(Z < z )

= P(Z < -0.873 )

= 0.1913

The p-value is p = 0.1913, and since p = 0.1913 < 0.5, it is concluded that the null hypothesis is rejected.

There is sufficient evidence to claim that less than 10% of the test results are wrong.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a drug testing company that provides a test for marijuana usage. Among 309 tested​ subjects,...
Consider a drug testing company that provides a test for marijuana usage. Among 309 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 percent of the test results are wrong. Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is: ​(Round to two decimal places as​ needed.)
Consider a drug testing company that provides a test for marijuana usage. Among 287 tested​ subjects,...
Consider a drug testing company that provides a test for marijuana usage. Among 287 tested​ subjects, results from 26 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.
Consider a drug testing company that provides a test for marijuana usage. Among 257 tested subjects,...
Consider a drug testing company that provides a test for marijuana usage. Among 257 tested subjects, results from 28 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. ( Round to two decimal places as needed ) Identify the P-value for this hypothesis test....
The company Drug Test Success provides a “1-Panel-THC” test for marijuana usage. Among 300 tested subjects,...
The company Drug Test Success provides a “1-Panel-THC” test for marijuana 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 over 90% of the test results are correct. 1.Find the value of pp that should be used in this test, based on the sample data. 2.What is the value of the test statistic, written to three decimal places? 3.What is...
Consider a drug testing company that provides a test for marijuana usage. Among 291tested​ subjects, results...
Consider a drug testing company that provides a test for marijuana usage. Among 291tested​ subjects, results from 27subjects 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 ​: pless than 0.1 Upper H 1 ​: pequals 0.1 B. Upper H 0...
12. A drug testing facility claims to have a test for marijuana that is 90% reliable....
12. A drug testing facility claims to have a test for marijuana that is 90% reliable. In a random sample of 500 people, 67 were falsely identified. Use a 0.05 significance level to check the claim that less than 10% of the test results are wrong. a. State the H0 and H1 hypothesis: b. Find the critical value. c. What is the test statistic? d. What is the P-Value? e. Does this test appear to be reliable enough for Traffic...
Use the following results from a test for marijuana​ use, which is provided by a certain...
Use the following results from a test for marijuana​ use, which is provided by a certain drug testing company. Among 149 subjects with positive test​ results, there are 21 false positive​ results; among 155 negative​ results, there are 5 false negative results. If one of the test subjects is randomly​ selected, find the probability that the subject tested negative or did not use marijuana.​ (Hint: Construct a​ table.) The probability that a randomly selected subject tested negative or did not...
Use the following results from a test for marijuana​ use, which is provided by a certain...
Use the following results from a test for marijuana​ use, which is provided by a certain drug testing company. Among 150 subjects with positive test​ results, there are 22 false positive results. Among 160 negative​ results, there are 2 false negative results. Complete parts​ (a) through​ (c). (Hint: Construct a​ table.) a. How many subjects were included in the​ study? The total number of subjects in the study was nothing . b. How many subjects did not use​ marijuana? A...
Use the following results from a test for marijuana​ use, which is provided by a certain...
Use the following results from a test for marijuana​ use, which is provided by a certain drug testing company. Among 142 subjects with positive test​ results, there are 20 false positive results. Among 154 negative​ results, there are 5 false negative results. a. How many subjects were included in the study ? The total number of subjects in the study was: b. How many subjects did not use marijuana? A total of _ subjects did not use marijuana. c. What...
In Exercises 23-26, use these results from the I-Panel-THC .est for marijuana use, which is provided...
In Exercises 23-26, use these results from the I-Panel-THC .est for marijuana use, which is provided by the company Drug test Sucess: Among 143 subjects with positive test results, there are 24 false positive results 157 negative results, there are 3 false negative reslts( Hint: Construct a table similar to table 4-1, which is included with the chapter problem. 23. screening for marijuana. Use If 2 of the subjects are randomly selected without replaement. what is the probaility tha they...