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Chapter 12: Hypothesis Tests – Large Samples
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√
: For a specified significance level
, reject the null hypothesis if
the computed test statistic value
-
⁄
or if
⁄
(this is equivalent to
| |
⁄
).
Conclusion
: ……….
Note:
This is a two-tailed test because of the not-equal-to symbol in the
alternative hypothesis. Also, note that the level of significance is shared
equally when finding the critical
value (
⁄
).
Example 12-4:
The graphic below snapshot shows some information on
the concerns of teenagers for their future.
A senior high school student looked at this information and felt that the
proportion of teenagers who were concerned about air quality could not be
66% and felt that it was different. The senior selected a random sample of
size 150 students in his high schooland found that 110 of them said that they
were concerned about the air quality. Can we confirm the senior’s belief at
the 2% level of significance?