DP Population Proportion Test

dpPropTest(Z, size, theta, b, q, alternative, alpha)

Arguments

Z	A Binomial sample with Tulap noise
size	The number of trials in Binomial distribution (parameter n in Binomial(n, \(\theta\)))
theta	The success probability for each trial (parameter \(\theta\) in Binomial(n, \(\theta\)))
b	Discrete Laplace noise parameters, obtained by \(exp(-\epsilon)\)
q	The truncated quantiles
alternative	The type of alternative hypothesis, must be `"two.sided"`, `"less"`, or `"greater"`
alpha	The confidence level of the confidence interval

Value

A table summary of the sample estimate, the p-value of the test, and the confidence interval of \(\theta\)

Examples

dpPropTest(9, 30, 0.5, exp(-1), 0.05, "less", 0.05)
#>                  Ha: True theta less than 0.5
#> Data                               9.00000000
#> Size                              30.00000000
#> Sample Estimates                   0.30000000
#> p-value                            0.02069401
#> Lower Limit                        0.00000000
#> Upper Limit                        0.46070737