Probability
The event that occurs when both A and B occurs.
What is A intersect B?
The random phenomenon that is the outcome of a probability distribution.
What is a random variable?
Descriptive measure of a population
What is parameter?
The historical claim about a parameter.
What is the null hypothesis?
The best guess of the population proportion.
What is the sample proportion?
Dividing the joint probability of A and B by the marginal probability of A.
What is the probability of B given A?
A random variable that exists on a continuum.
What is a continuous random variable?
As sample size approaches infinity, the sampling distribution of the sample means converges in distribution to a normal distribution.
What is Central Limit Theorem?
The standard deviation of the sampling distribution, or the estimate of it.
What is standard error?
The condition in which we can use the normal approximation to the binomial distribution.
What is both np and n(1-p) are at least 10?
Events A and B cannot both occur.
What is A and B are disjoint?
A random variable with a finite or countably infinite sample space.
What is a discrete random variable?
Distribution of a statistic from samples.
What is sampling distribution?
A tool for assessing evidence for or against a claim about the population parameter.
What is hypothesis test?
What is Type II Error?
The occurrence of A does not affect the probability of the occurrence of B.
What is A and B are independent?
A function that assigns probability to each point of the sample space.
What is a probability mass function?
As the sample size increases, the sample mean converges in probability to the population mean.
What is the weak law of large numbers?
A tool to estimate the value of a population parameter using sample statistics.
What is confidence interval?
The standard normal value such that alpha% of the area under the curve is not between the value and -negative of the value.
What is z critical value?
A mathematical description of a random phenomenon, consisting of a sample space and a mechanism that assigns probability to events.
What is probability models?
A function that assigns probability as integrated area to the left of an input.
What is cumulative distribution function?
There is a 95% probability that the population mean is between a and b.
What is a 95% credible interval?
The number of observations in a sample that's free to vary.
What is degree of freedom?
Probability of rejecting the null hypothesis when the null hypothesis is not true.
What is power?