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A statement regarding a characteristic of one or more populations |
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A procedure based on sample evidence and probability used to test statements regarding a characteristic of one or more populations |
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3 steps in hypothesis testing |
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1. A statement is made regarding the nature of the population 2. Evidence is collected to test the statement 3. The data are analyzed to assess the plausibility of the statement |
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A statement to be tested; a statement of no change, no effect, or no difference |
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Alternative hypothesis, H1 or Ha |
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A statement that we are trying to find evidence to support |
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3 ways to set up the null and alternate hypothesis |
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Definition
1. Two-tailed test 2. Left-tailed test 3. Right-tailed test |
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Equal hypothesis versus not equal hypothesis H0: parameter = some value H1: parameter not= some value |
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Equal versus less than H0: parameter = some value H1: parameter < some value |
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Equal versus greater than H0: parameter = some value H1: parameter > some value |
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1. Four outcomes from hypothesis testing |
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Definition
Reject null when alternative is true |
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2. Four outcomes from hypothesis testing |
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Do not reject null when null is true |
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3. Four outcomes from hypothesis testing |
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Definition
Reject null when null is true; type I error |
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4. Four outcomes from hypothesis testing |
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Definition
Do not reject null when alternative is true; type II error |
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Term
Level of significance. alpha |
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Definition
The probability of making a type I error |
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