A first look at hypothesis testing.

For those that use R, below is the R code to find the binomial probability given in this video.

To find the probability that X takes on a value that is at least 28, where X has a binomial distribution with parameters n = 100 and p = 1/4:

1-pbinom(27,100,1/4)
[1] 0.2776195

To find the probability that X takes on a value that is at least 44, where X has a binomial distribution with parameters n = 100 and p = 1/4:

1-pbinom(43,100,1/4)
[1] 2.700295e-05

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