The Null and Alternative Hypotheses Flashcards
This is a statistical method of using sample data to determine the probability that a given hypothesis about the population is true.
Hypothesis Testing
Steps in Hypothesis Testing
Formulate the null and alternative hypotheses
Determine the level of significance
Calculate the test statistic and identify the rejection region.
Draw a conclusion
This is a statement about a population parameter
Statistical Hypothesis
This is the hypothesis that is assumed to be true, It uses a I relation symbol with a statement of equality, such as =, and is denoted by H0
Null Hypothesis
This is the hypothesis that is contrary to the null hypothesis. It uses a relation symbol with no statement of equality, such as >, <, and is denoted by Ha
Alternative Hypothesis
This is a type of hypothesis test that uses only one side or tail of the distribution.
Directional Test of Hypothesis or One-tailed Test
This is a type of directional test of hypothesis or one-tailed test used when it is hypothesized that the parameter falls within the positive end of the distribution.
Right-tailed Test
alternative hypothesis uses comparatives such as greater than, higher than, better than, superior to, exceeds, above, increased, etc.
Right-tailed Test
This is a type of directional test of hypothesis or one-tailed test that is used when it is hypothesized that the parameter falls within the negative end of the distribution.
Left-tailed Test
the alternative hypothesis uses comparatives such as less than, smaller than, inferior to, lower than, below, decreased, etc.
Left-tailed Test
This is a type of hypothesis test that makes use of two opposite sides or tails of the distribution. It is used when no assertion is made on whether the parameter falls within the positive or negative end of the distribution.
Non-directional Test of Hypothesis or Two-tailed Test
In a two-tailed test, the alternative hypothesis uses comparatives such as not equal to, different from, not the same as, etc.
Non-directional Test of Hypothesis or Two-tailed Test
This is the probability of rejecting the null hypothesis in favor of the alternative hypothesis when it is really true, denoted by a.
Level of Significance
such as 0.05 and 0.01 are frequently used in hypothesis testing because of the desire to maintain a low probability of rejecting the null hypothesis when it is actually true.
Conventional significance levels
This is the set of values in which the null hypothesis is rejected.
Rejection Region