Two Population Proportion Inference

Data Summary

Counts: CLASS by TYPE

- Sport Others Total
Domestic 2 33 35
Import 7 40 47

Percentages: CLASS by TYPE

- Sport Others
Domestic 5.714286 94.28571
Import 14.89362 85.10638

Two Population Proportion Test of Hypothesis
Method: Large Sample z Test (Pooled Standard Error)

Success = Sport
Population 1 = Domestic, Population 2 = Import
Sample Size: Domestic = 35, Import = 47
Number of Successes: Domestic = 2, Import = 7
Proportion of Success: Domestic = 0.05714, Import = 0.1489
Significance level = 5%
Alternative Hypothesis Ha: Proportion of 'Domestic - Import' is not equal to 0

Proportion Domestic Proportion Import Difference Std Error Obs z Stat 2.5% z-Lower Critical 2.5% z-Upper Critical P-Value BFB
0.0571429 0.148936 -0.0917933 0.0697899 -1.31528 -1.95996 1.95996 0.188416 1.16978

  • Test is not significant at 5% level.
  • Bayes Factor Bound (BFB): The data imply the odds in favor of
    the alternative hypothesis is at most 1.17 to 1, relative to the null hypothesis.

P-value Graph: Large Sample z, Pooled SE

Null density (in units of data): Normal; mean = 0 , sd = 0.06979
Alternative Hypothesis Ha: Proportion of 'Domestic - Import' is not equal to 0

The title of the graph is P-value Graph: Large Sample z, Pooled SE , The graph shows the distribution of Proportion Difference (Domestic - Import) , Obs Proportion Diff = -0.091793 , P-Value = 0.18842