Question

Researchers tested 150 farm-raised salmon for organic contaminants. They found the mean concentration of the carcinogenic insecticide mirex to be 0.0913 parts per million, with a sample standard deviation of 0.0495 ppm. Test, using a 1% level of significance, the claim that the mean concentration of mirex in farm-raised salmon is below the EPAs recommended limit of 0.08 ppm.

a. State the null and alternative hypotheses

?0:

?1:

b. What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem.

c. Run the calculator test and obtain the P-value. d. (2 points) Based on your P-value, will you reject or fail to reject the null hypothesis?

e. Interpret your conclusion from part d in the context of this problem.

2. A large city’s Department of Motor Vehicles claimed that 80% of candidates pass driving tests, but a newspaper reporter’s survey of 90 randomly selected local teens who had taken the test found that only 61 passed. Use a 5% level of significance to test the claim that the DMV’s statement is false (in other words, that less than 80% pass the driving test).

a. State the null and alternative hypotheses

?0:

?1:

b. What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem.

c.Run the calculator test and obtain the P-value.

d.Based on your P-value, will you reject or fail to reject the null hypothesis?

e. Interpret your conclusion from part d in the context of this problem.

Answer 1

To Test :-

H0 :-  

H1 :-  

Test   Statistic :-


t = 2.7959

Test   Criteria :-
Reject null hypothesis if


Result :-    Fail to reject null hypothesis

P value = P ( t > 2.7959 ) = 0.9971

Reject null hypothesis if   P value < level of significance

0.9971 > 0.01, hence we fail to reject null hypothesis

Conclusion :-

There is insufficient evidence to support the claim that the mean concentration of mirex in farm-raised salmon is below the EPAs recommended limit of 0.08 ppm.