Homework: Homework 9 core: 0 of 2 pts 3 of 7 (3 complete) HW Score: 7.14 15.1.31

Question

Homework: Homework 9 core: 0 of 2 pts 3 of 7 (3 complete) HW Score: 7.14 15.1.31-T Qu A company with a fleet of 150 cars found that the emissions systems of 4 out of the 22 they randomly tested failed to meet pollution control guidelines evidence that more than 19% of the fleet might be out of compliance? Test an appropriate hypothesis and state your conclusion. Be sure the appropri and conditions are satisfied before you proceed Yes 0 State the null and alternative hypotheses. Choose the correct answer below. 0 A. Ho: p=0.19 HA p#0.19 O B. Ho:p=0.19 HA p 0.19 ( D. The assumptions and conditions are not met, so the test cannot proceed Click to select vour answer and then click Check Answer parts remaining Clear All Check Ans

Explanation / Answer

Soluion:

15.1.31-T

State the null and alternative hypothesis.

Here conditions of , 1

i)np and n*(1-p) >10 is not satisfied .

np =22*0.19 = 4.18 < 10 and n*(1-p) =22*(1-0.19) =17.82 >10 ,so this condition is not satisfied.

i) population >10n

here 10n =10*22 =220 and given that there are only 150 cars.

So as conditions are not satisfied.

The correct option is D. The assumptions and conditions are not met, so the test can not proceed.

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