Telepathy experiment

X   ~   binomial (n = 90, π)

H0:   π = 1/3        HA:   π > 1/3


36 cards are correctly guessed

This is another example where the binomial distribution is used to find the p-value for testing a proportion.

Drag the slider to find the binomial probability of 36 or more correct 'guesses'.

p-value = 0.11 so there is no evidence of telepathy.

Use the slider and discuss how different numbers of correct guesses would change the conclusion.

The context is a telepathy experiment in which one subject selects cards with a random shape (circle, square or cross) and attempts to 'send' this shape to another subject who is seated behind a screen; this second subject reports the shape imagined for the card.

Out of 90 cards, 36 are correctly guessed.