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
.