Rat recognition of symbols
X ~ binomial (n = 90, π)
H0: π = 1/3 HA: π > 1/3
Rat chooses correct box 36 times
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 the rat choosing the correct box 36 or more times.
p-value = 0.11 so there is no evidence that the rat has learned.
Use the slider and discuss how different numbers of rats choosing the correct box would change the conclusion.
The context is an experiment in which a rat was placed in a cage containing three boxes marked with a circle, square and cross. To train the rat, 100 cards were shown to the rat, with the corresponding box unlocked allowing access to food.
After this training period, 90 cards were presented to the rat and the box with the same symbol was picked 36 times.