Exam 1 Flashcards
A statement that specifies some testable relationship among variables
Hypothesis
A statement of no difference, no effect, no relationship, or independence among the variables
Null Hypothesis
A statement in which a difference effect, relationship, or dependence is expected
Alternative Hypothesis
H0: μ = μ0
H1: μ ≠ μ0
Two-tailed test
H0: μ ≤ μ0
H1: μ > μ0
Right-tailed test
H0: μ ≥ μ0
H1: μ < μ0
Left-tailed test
Hypothesis are always stated in _______, NOT ______.
Always population parameters, NEVER sample statistics
Identifying null and alternative hypotheses (3):
- Identify the specific claim or hypothesis to be tested and put it into symbolic form
- Give the symbolic form of the claim that must be true when the original claim is false
- Of the two symbolic expressions obtained so far, let the null hypothesis (H0) be the one that contains some form of equality ( =, less than or equal to, greater than or equal to). The other symbolic expression becomes the alternative hypothesis (H1)
Hypothesis Example:
Claim: The population of U.S. commercial aircraft has an average age of 10 years or less
What is the null and alternative hypothesis?
- μ ≤ 10
- μ > 10
- H0: μ ≤ 10
H1: μ > 10
Hypothesis Example:
Company XYZ will introduce a new product nationally if test market results indicate more than a 20% market share
H0: π ≤ .20
Ha: π > .20
Hypothesis Example:
Michigan State claims that the average GMAT score for entering MBAs is 640.
H0: μ = 640
Ha: μ ≠ 640
Hypothesis Example:
The average weight of the offensive linemen on MSU’s football team is less than 325 pounds.
H0: μ ≥ 325
Ha: μ < 325
Where is the rejection region?
Calculated value > table value
Or
-Calculate value < -table value
Hypothesis Testing Procedure (5):
- Specify the null and alternative hypotheses
- Choose the appropriate statistical test
- Specify the desired level of significance, i.e. the alpha level
- Compute the value of the test statistic
- Compare the table value from step 3 to the calculated value from step 4
Rejecting a true null hypothesis
Type I Error