Testing Population Proportion (normal approximation)
Sample size200
Sample Proportion0.857142857
Null hypothesis0.69
Type I error (alpha)0.05
1-sided critical value0.743791994982107
1-sided testReject the Null Hypothesis
2-sided Confidence Interval
(sample proportion)
[ 0.79304574155217 , 0.92123997244783 ]
2-sided testReject the Null Hypothesis


Testing Population Proportion (Agresti-Coull method)
Sample size200
Sample Proportion0.857142857
Null hypothesis0.69
Type I error (alpha)0.05
Left 1-sided confidence interval[ 0.798884063489961 , 1 ]
Right 1-sided confidence interval[ 0 , 0.90586796433187 ]
2-sided Confidence Interval
(sample proportion)
[ 0.786821219645626 , 0.914003546947425 ]


Testing Population Proportion (Exact and Wilson method)
Sample size200
Sample Proportion0.857142857
Null hypothesis0.69
Type I error (alpha)0.05
Left 1-sided confidence interval
(Exact method)
[ 0.809965705263543 , 1 ]
Right 1-sided confidence interval
(Exact method)
[ 0 , 0.896153516480279 ]
2-sided Confidence Interval
(Exact method)
[ 0.800843085091497 , 0.902502896711533 ]
Left 1-sided confidence interval
(Wilson method)
[ 0.811668901546815 , 1 ]
Right 1-sided confidence interval
(Wilson method)
[ 0 , 0.893083126275016 ]
2-sided Confidence Interval
(Wilson method)
[ 0.801905783094413 , 0.898918983498638 ]