Fill in the blanks.

The _____________________ is a statement of no change, no effect, or no difference.

________________________ is a procedure, based on sample evidence and probability, used to test statements regarding a characteristic of one or more populations.

If we reject the null hypothesis when the statement in the null hypothesis is true, we have made a Type ___ error.

The _______________________________ is the probability of making a Type I error.

If we do not reject the null hypothesis when the statement in the alternative hypothesis is true, we have made a Type ___ error.

The ____________________________ is a statement we are trying to find evidence to support.

A _____________ is a statement regarding a characteristic of one or more populations.

 

  1. Explain the difference between a one-tailed test and a two-tailed test.
  2. What are the formal steps involved in conducting a hypothesis test?
  3. Draw a rejection region for each type of test.

a.   

                         b.   

                         c.   

Blank distribution curve
Blank distribution curve
Blank distribution curve

 

 

  1. What is a -value used for, and how is it used?
  2. Researchers must choose the level of significance based on the consequences of making a Type I error.
  3. What happens to the probability of making a Type II error if you decrease the probability of making a Type I error?
  4. In your opinion, is a Type I error or Type II error more serious?  Explain your answer.

7. The drug Lipitor is used to treat high cholesterol.  In a clinical trial of Lipitor, 47 of 863 subjects experienced headaches as a side effect.  The accompanying TI-83/84 Plus calculator display shows results from a test of the claim that fewer than 10% of treated subjects experience headaches as a side effect.

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" alt="Generated calculator output.
prop
  1. Is the test two-tailed, left-tailed, or right-tailed?
  2. What is the null hypothesis?
  3. What is the test statistic?
  4. What is the -value?
  5. What is the conclusion?

8. The drug Eliquis is used to help prevent blood clots in certain patients.  In clinical trials, among 5924 patients treated with Eliquis, 153 developed the adverse reaction of nausea.  Is there evidence to suggest that less than 3% of Eliquis users develop nausea.

 

9. In a survey of 3005 adults aged 57 through 85 years, it was found that 81.7% of them used at least one prescription medication.  Use 

 to test the claim that more than

 of adults use at least one prescription medication.