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STAT - EXAM 3 - Hypothesis Testing and Chi Square Review
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MAT203 - Statistics CH. 8 EXAM 3
Terms in this set (24)
α (alpha)
the probability of a type I error
alternative hypothesis (research hypothesis)
a statistical hypothesis that states a difference between a parameter and a specific value or states that there is a difference between two parameters
β (beta)
the probability of a type II error
critical / rejection region
the range of values of the test value that indicates that there is a significant difference and the null hypothesis should be rejected in a hypothesis test
critical value (C.V.)
a value that separates the critical region from the noncritical region in a hypothesis test
hypothesis testing
a decision-making process for evaluating claims about a population
left-tailed test
a test used on a hypothesis when the critical region is on the left side of the distribution
level of significance
the maximum probability of committing a type I error in hypothesis testing
noncritical / nonrejection region
the range of values of the test value that indicates that the difference was probably due to chance and the null hypothesis should not be rejected
null hypothesis
a statistical hypothesis that states that there is no difference between a parameter and a specific value or that there is no difference between two parameters
one-tailed test
a test that indicates that the null hypothesis should be rejected when the test statistic value is in the critical region on one side of the mean
power of a test
the probability of rejecting the null hypothesis when it is false
P-value
the actual probability of getting the sample mean value if the null hypothesis is true
research hypothesis
another name for the alternative hypothesis
right-tailed test
a test used on a hypothesis when the critical region is on the right side of the distribution
statistical hypothesis
a conjecture about a population parameter, which may or may not be true
statistical test
a test that uses data obtained from a sample to make a decision about whether the null hypothesis should be rejected
t test
a statistical test for the mean of a population, used when the population is normally distributed and the population standard deviation is unknown
test value
the numerical value obtained from a statistical test, computed from (observed value - expected value) / standard error
two-tailed test
a test that indicates that the null hypothesis should be rejected when the test value is in either of the two critical regions
type I error
the error that occurs if you reject the null hypothesis when it is true
type II error
the error that occurs if you do not reject the null hypothesis when it is false
z test
a statistical test for means and proportions of a population, used when the population is normally distributed and the population standard deviation is known
z test for proportions
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