1- Explain how you would test the hypotheses for paired difference between the means of two populations. Give an example.
2- Explain how the proportions for two populations are used in hypotheses testing about two population proportions. Give an example.
Note: type it if possible.
1)
If we want to test if the proportion of one child homes in Florida is larger than the proportion of one child homes the state of Florida. Alabama
Two independent studies were conducted,
89 out of 350 homes in Alabama had one child, and
152 out of 400 had one child in Florida.
Is there sufficient evidence the proportion of one child homes in Florida is greater than in Alabama ?
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0
Hypothesis test results:
Difference | Count1 | Total1 | Count2 | Total2 | Sample Diff. | Std. Err. | Z-Stat | P-value |
---|---|---|---|---|---|---|---|---|
p1 - p2 | 152 | 400 | 89 | 350 | 0.12571429 | 0.034180055 | 3.6780012 | 0.0001 |
since p-value < 0.0001
we reject the null hypothesis
we conclude that there is evidence that proportion of one child homes in Florida is greater than in Alabama
1- Explain how you would test the hypotheses for paired difference between the means of two...
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