### R Binomial Test

`binom.test()`

function performs binomial test of null hypothesis about binomial distribution.

binom.test(x,n,p=0.5,alternative=c("two.sided","less","greater"), conf.level=0.95)

`x`

: number of successes`n`

: number of trials`p`

: hypothesized probability of success`alternative`

: alternative hypothesis, including "two.sided","greater","less"`conf.level`

: confidence levelSuppose in a coin tossing, the chance to get a head or tail is 50%. In a real case, we have 100 coin tossings, and get 48 heads, is our original hypothesis true?

> binom.test(48,100)

Exact binomial test data: 48 and 100 number of successes = 48, number of trials = 100, p-value = 0.7644 alternative hypothesis: true probability of success is not equal to 0.5 95 percent confidence interval: 0.3790055 0.5822102 sample estimates: probability of success 0.48

Since the p-value is 0.7644, far greater than 0.05, the hypothesis is accepted.