One Population Proportion Inference

Data Summary

Counts and Percentages: Student Ethnicity

- Asian Other Total
Count 14 36 50
Percentage 28 72 100

Test of Hypothesis: Student Ethnicity
Method: Large Sample z Test (Using p0)

Alternative Hypothesis Ha: Proportion of 'Asian' is greater than 0.25

Sample Proportion Std Error Standardized Obs Stat 5% z-Upper Critical P-Value BFB
0.28 0.0612372 0.489898 1.64485 0.312103 1.01227

  • 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 1.01 to 1, relative to the null hypothesis.

P-value Graph: Large Sample z (Using p0)

Null density (in units of data): Normal; mean = 0.25 , sd = 0.061237
Alternative Hypothesis Ha: Proportion of 'Asian' is greater than 0.25

The title of the graph is P-value Graph: Large Sample z (Using p0) , The graph shows the distribution of Proportion of Asian , Observed Sample Prop = 0.28 , P-value = 0.3121

Test of Hypothesis: Student Ethnicity
Method: Binomial Exact Test

Alternative Hypothesis Ha: Proportion of 'Asian' is greater than 0.25

Sample Size No. of Successes Sample Proportion P-Value BFB
50 14 0.28 0.362963 1.00009

  • 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 to 1, relative to the null hypothesis.

P-Value Graph: Student Ethnicity
Method: Exact Binomial Test

Null Distribution: Binomial; n = 50, p = 0.25
Alternative Hypothesis Ha: Proportion of 'Asian' is greater than 0.25

The graph shows the distribution of Number of Successes , Observed Value = 14 , P - Value == P(X >= 14) , P - Value == 0.36296