Statistics Exam 2, oops Flashcards
Hypothesis Testing
Compares data to what we would expect to see if a specific H0 were true.
Null Hypothesis
Specific statement about a population parameter made for the purposes of argument.
Alternative Hypothesis
Includes all other feasible values for the population parameter besides the value stated in the null hypothesis.
Two-Sided/Tailed Test
The Ha includes parameter values on both sides of the parameter value specified by the H0.
Test Statistic
A number calculated from the data that is used to evaluate how compatible the data are with the result expected under H0.
Null Distribution
Sampling distribution of outcomes for a test statistic under the assumption that the H0 is true.
P-Value
The probability of obtaining the data (or data showing as great or greater difference from H0) if the H0 were true.
Significance Level
Probability used as a criterion for rejecting the H0.
Type I Error
Rejecting a true null hypothesis. Moving alpha to a smaller magnitude can reduce the chance of it happening.
Type II Error
Failing to reject a false null hypothesis. A larger sample size can decrease the chance of it happening.
Power
The probability that a random sample will lead to rejection of a false null hypothesis. A low probability of a TII Error is said to have high power.
Binomial Distribution
Provides the probability distribution for the number of “successes” in a fixed number of independent trials, when the probability of success is the same in each trial.
Binomial Test
Uses data to test whether a population proportion matches a null expectation for the proportion.
Proportional Model
Frequency of occurrence of events is proportional to the number of opportunities.
X2 Goodness-of-Fit Test
Compares frequency data to a probability model stated by the null hypothesis.