5. John rejected a null hypothesis in aright-tailed test for a mean at a = .025

Question

5. John rejected a null hypothesis in aright-tailed test for a mean at a= .025 because his critical t value was 2.000 andhis calculated t value was 2.345. We can be surethat

A) John did not commit Type I error.

B) John did not commit Type II error.

C) John committed neither Type I nor Type IIerror.

D) None of the above can definitely beconcluded.

6. “I believe yourairplane’s engine is sound,” states the mechanic. “I’ve been over it carefully, and can’t seeanything wrong. I’d be happy to tear the engine downcompletely for an internal inspection at a cost of $1,500. But I believe that engine roughness you heard in the engine on yourlast flight was probably just a bit of water in the fuel whichpassed harmlessly through the engine and is now gone.” As the pilot considers the mechanic’s hypothesis, the cost ofType I error is

A) the pilot will experience the thrill ofno-engine flight.

B) the pilot will be out $1,500unnecessarily.

C) the mechanic will lose a goodcustomer.

D) Cannot be determined without knowingthe a level.

7. A study over a 10-year period showedthat a certain mammogram test had a 50 percent rate of falsepositives. This indicates that

A) about half the tests indicatedcancer.

B) about half the tests missed a cancer thatexists.

C) about half the tests showed a cancer thatdidn’t exist.

D) about half the women tested actually had nocancer.

8. Which of the following isincorrect?

A) Ho is rejected when thecalculated p-value is less than the critical value of thetest.

B) In a right-tailed test, H0is rejected when the value of the test statistic exceeds thecritical value

C) The critical value of a hypothesis test isbased on the researchers selected level ofsignificance.

D) In a hypothesis test ifH0: m 100 and H1: m> 100, the appropriate test will beright-tailed.

9. Which of the following is not avalid null hypothesis?

A)   H0: m 0

B)   H0: m 0

C)   H0: m 0

D) All are valid.

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