1990, 5.8% of job applicants who were tested for drugs failed the test. At the 0.05 significance level, test the claim that the failure rate is now lower if a random sample of 1520 current job applicants results in 67 failures. efine the parameter A. mu = The proportion of all applicants that now fail the drug test B. p = The proportion of all applicants that now fail the drug test C. mu = The mean number of all applicants that now fail the drug test D. p = The proportion of all applicants that now pass the drug test b. State the null and alternative hypotheses A. Upper H 0 : p equals 67 Upper H 1 : p less than 67 B. Upper H 0 : p equals 0.058 Upper H 1 : p less than 0.058 C. Upper H 0 : p not equals 0.058 Upper H 1 : p equals 0.058 D. Upper H 0 : p greater than 0.058 Upper H 1 : p equals 0.058 c. Calculate the sample proportion ModifyingAbove p with caret . Which of these options is closest to ModifyingAbove p with caret ? A. 0.0154 B. 0.2428 C. 0.0475 D. 0.0441 d. Calculate the test statistic z. Which of these options is closest to z? A. negative 2.51 B. negative 2.32 C. negative 2.14 D. negative 1.38 e. Calculate the P-value. Which of these options is closest to the P-value? A. 0.0199 B. 0.0003 C. 0.0102 D. 0.1978 f. State the technical conclusion A. Do not reject Upper H 0 B. Reject Upper H 0 g. State the final conclusion A. The sample data support the claim. B. There is sufficient evidence to warrant rejection of the claim. C. There is not sufficient sample evidence to support the claim. D. There is not sufficient evidence to warrant rejection of the claim. h. Based on the results, does it appear that fewer job applicants now use drugs? A. Yes B. No

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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n 1990, 5.8% of job applicants who were tested for drugs failed the test. At the 0.05 significance level, test the claim that the failure rate is now lower if a random sample of 1520 current job applicants results in 67 failures.

efine the parameter

= The proportion of all applicants that now fail the drug test

p = The proportion of all applicants that now fail the drug test

= The mean number of all applicants that now fail the drug test

p = The proportion of all applicants that now pass the drug test

b. State the null and alternative hypotheses

Upper H 0 : p equals

Upper H 1 : p less than

Upper H 0 : p equals 0.058 Upper H 1 : p less than 0.058

Upper H 0 : p not equals 0.058 Upper H 1 : p equals 0.058

Upper H 0 : p greater than 0.058 Upper H 1 : p equals 0.058

c. Calculate the sample proportion

ModifyingAbove p with caret

Which of these options is closest to

ModifyingAbove p with caret

0.0154

0.2428

0.0475

0.0441

d. Calculate the test statistic z. Which of these options is closest to z?

negative 2.51

negative 2.32

negative 2.14

negative 1.38

e. Calculate the P-value. Which of these options is closest to the P-value?

0.0199

0.0003

0.0102

0.1978

f. State the technical conclusion

Do not reject Upper H 0

Reject Upper H 0

g. State the final conclusion

The sample data support the claim.

There is sufficient evidence to warrant rejection of the claim.

There is not sufficient sample evidence to support the claim.

There is not sufficient evidence to warrant rejection of the claim.

h. Based on the results, does it appear that fewer job applicants now use drugs?

Yes

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