## Sample Tests for a Population Mean

This section talks about using the central limit theorem to test a population mean when the sample size is large. It also addresses how to interpret the test results in the application background. Then, it discusses testing a population mean when the sample size is small, outlines a five-step testing procedure, and illustrates the procedure with an example. Study the example carefully and complete the relevant exercises and applications. Finally, it talks about large sample tests for a population proportion. The critical value and p-value approach are introduced based on a standardized test statistic.

### Large Sample Tests for a Population Proportion

#### ANSWERS

3. a. ; reject .

b. or ; reject .

c. do not reject .

5. a. -value ; reject .

b. -value reject .

c. -value ; do not reject .

7. a. , reject .

b. , do not reject

9. a. -value , do not reject .

b. -value , reject .

23. vs. . Test Statistic: . Rejection Region: . Decision: Fail to reject .

25. vs. . Test Statistic: . Rejection Region: Decision: Fail to reject .