Statistics II207910 marksNumerical: paired t-testpaired sample t-test
Hypothesis Testing: Type I and Type II Errors **Define Type I and Type II error in testing of hypothesis.** A psychologist wishes to verify that a certain drug increases the reaction time to given stimulus. The following reaction times (in tenth of seconds) were recorded before and after injection o
Hypothesis Testing: Type I and Type II Errors
Define Type I and Type II error in testing of hypothesis. A psychologist wishes to verify that a certain drug increases the reaction time to given stimulus. The following reaction times (in tenth of seconds) were recorded before and after injection of the drug for each of four subjects. Test at 5% level of significance to determine whether the drug significantly increases the reaction time.
| Reaction Time | Subject 1 | Subject 2 | Subject 3 | Subject 4 |
|---|---|---|---|---|
| Before | 7 | 2 | 12 | 12 |
| After | 13 | 3 | 18 | 13 |
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Type I Error (α): Rejecting a null hypothesis $H0$ when it is actually true. Its probability equals the level of significance, denoted $\alpha$. Type II Error (β): Failing to reject (accepting) a null hypothesis $H0$ when it is actually false. Its probability is denoted $\beta$. Decision $H0$ Tru...