Binomialtest

Erforderliche Pakete laden

library(binom)  # Berechnung der Power

Werte eingeben

x <- 9      # Anzahl Treffer 
n <- 20     # Anzahl Versuche
p <- 0.25   # Wahrscheinlichkeit für einen Treffer
Hypothese <- "greater"  # zweiseitig: Hypothese="two.sided"; x ≥ 9: Hypothese="greater"; x ≤ 9: Hypothese="less"

Signifikanztest

library(binom)
binom.test(x=x, n=n, p=p, alternative=Hypothese)

## 
##  Exact binomial test
## 
## data:  x and n
## number of successes = 9, number of trials = 20, p-value = 0.04093
## alternative hypothesis: true probability of success is greater than 0.25
## 95 percent confidence interval:
##  0.2586506 1.0000000
## sample estimates:
## probability of success 
##                   0.45

Teststärke

library(binom)
binom.power(p.alt=x/n, n=n, p=p, alpha=.05, alternative=Hypothese, method = "exact")

## [1] 0.5715007