555 / 762
Chapter 12: Hypothesis Tests – Large Samples
555
Note:
There is a statistical significant difference for the difference between
the sample proportions of 0.0662 – 0.0807 = -0.0155 and the postulated
value of 0 for the population proportions.
(c) Two-tailed
:
(
)
:
(
)
̂
̂
√ ̂ ̂ (
)
D.R
: 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 12-11:
This graphic shows the breakdown of people who do not
have health insurance for two age groups for Americans less than 65 years of
age.
Click here for the Large Sample Test for the Difference Between Two Population Proportions Workbook