<< Chapter < Page | Chapter >> Page > |
${H}_{o}$ and ${H}_{a}$ are contradictory.
If ${H}_{o}$ has: | equal $\mathrm{(=)}$ | greater than or equal to $(\ge )$ | less than or equal to $(\le )$ |
then ${H}_{a}$ has: | not equal $\mathrm{(\ne )}$ or greater than $(>)$ or less than $(<)$ | less than $(<)$ | greater than $(>)$ |
If $\alpha \le $ p-value, then do not reject ${H}_{o}$ .
If $\alpha >$ p-value, then reject ${H}_{o}$ .
$\alpha $ is preconceived. Its value is set before the hypothesis test starts.The p-value is calculated from the data.
$\alpha $ = probability of a Type I error = P(Type I error) = probability of rejecting the null hypothesis when the null hypothesis is true.
$\beta $ = probability of a Type II error = P(Type II error) = probability of not rejecting the null hypothesis when the null hypothesis is false.
If there is no given preconceived $\alpha $ , then use $\alpha =0.05$ .
Notification Switch
Would you like to follow the 'Collaborative statistics homework book: custom version modified by r. bloom' conversation and receive update notifications?