Binomial hypothesis test
If we would like to test observed values against a binomial distribution, we can do a hypothesis test.
Steps
- Write down what the probability
p represents. - Write down our null hypothesis,
H_0 (see null hypothesis notation) - Write down our alternative hypothesis,
H_1 (see alternative hypothesis notation)
Template
- Let p = probability that [event occurs]
H_0:p= [expected probability of event occuring]H_1:p [< ,> ,\ne ]
Two-tail test
if we have a two-tail test, we should half our significance level, because we’re splitting it among the lower tail and upper tail.
We then need to find the expected number using our sample size and the expected probability (see binomial distribution expectation).
- If our observed number of occurences is greater than the