BinomialTest Class

[SerializableAttribute]
public class BinomialTest : HypothesisTest<BinomialDistribution>

<SerializableAttribute>
Public Class BinomialTest
	Inherits HypothesisTest(Of BinomialDistribution)

// A person is shown the reverse of a playing card 25 times and is
// asked which of the four suits the card belongs to. Every time
// the person correctly guesses the suit of the card, we count this
// result as a correct answer. Let's suppose the person obtained 13
// correctly answers out of the 25 cards.

// Since each suit appears 1/4 of the time in the card deck, we 
// would assume the probability of producing a correct answer by
// chance alone would be of 1/4.

// And finally, we must consider we are interested in which the
// subject performs better than what would expected by chance. 
// In other words, that the person's probability of predicting
// a card is higher than the chance hypothesized value of 1/4.

BinomialTest test = new BinomialTest(
    successes: 13, trials: 25,
    hypothesizedProbability: 1.0 / 4.0,
    alternate: OneSampleHypothesis.ValueIsGreaterThanHypothesis);

Console.WriteLine("Test p-Value: " + test.PValue);     // ~ 0.003
Console.WriteLine("Significant? " + test.Significant); // True.