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used to help study and remember vocab for the AP Stats test

Trial
A single attempt or realization of a random phenomenon

Outcome
Value that is measured or reported from a trial

Sample Space
Collection of all possible outcomes

Law of Large Numbers
The long run probability will approach its theoretical probability

Independence
When the probability of one event occurring has no affect on the probability of a second event occurring

Probability
A number between 0 and 1 that describes the chance of an event occurring

Disjoint
When two events share no common outcomes

Mutually Exclusive
When two events share no common outcomes

Expected Value
The theoretical long-run average value. AKA the mean

Bernoulli Trials
Have 2 outcomes, probability of a success is constant, trials are independent

Geometric Probability Model
Counts the number of Bernoulli trials until the first success

Binomial Probability Model
Counts the number of successes in n trials

Central Limit Theorem
The sampling distribution model of the sample mean and proportion from a random sample is approximately normal for large n regardless of the distribution of the population as long as observations are independent

Standard Error
When we estimate the standard deviation of a sampling distribution using statistics found from the data

Confidence Interval
An interval used for estimating a parameter

Margin of Error
Tells you the "give or take" from a confidence interval

Alpha Level
The "threshold" p-value that determines whether we reject a null hypothesis

Statistically Significant
When the p-value falls below the alpha level

Significance Level
Another name for alpha level

Type I Error
Rejecting a null hypothesis when it is true. (Also called a false positive) usually denoted by α

Type II Error
Failing to reject a null hypothesis when it is falso (Also called a false negative) usually denoted by β

Power
The probability that a hypothesis test will correctly reject a false null