Chapter 8 Flashcards
What do the critical values and region of rejection marked mean on a null distribution graph?
the specific range of values on a statistical distribution where, if your calculated test statistic falls within that range, you would reject the null hypothesis
When do you use a one-sample z-test?
when you want to compare a sample mean to a population mean
What information do you need to know to calculate a one-sample z-test?
Need to know the population standard deviation
What is the null hypothesis and alternate hypothesis equations for the on sample z test?
Null: H0: µS = µC
Alternate: HA: µS ≠ µC
When do you use Direction (or one-tailed) hypothesis?
Only use it when you are interested in one direction (how the test scores improve or not)
When do you use non-directional (or two-tailed) hypotheses?
Differences in either direction are interesting MOST EXTREME 5%
How do you write the null and alternate hypothesis for Direction (one-tailed) Null hypothesis POSITIVE:
AND
Direction (one-tailed) Alternate hypothesis POSITIVE
Direction (one-tailed) Null hypothesis POSITIVE (higher): H0: µS ≤ µC
Direction (one-tailed) Alternate hypothesis POSITIVE(higher): HA: µS > µC
How do you write the null and alternate hypothesis for Direction (one-tailed) Null hypothesis NEGATIVE:
AND
Direction (one-tailed alternate hypothesis NEGATIVE:
Direction (one-tailed) Null hypothesis NEGATIVE (lower): H0: µS ≥ µC
Direction (one-tailed alternate hypothesis NEGATIVE (lower): HA: µS < µC
How do you write the null and alternate hypothesis for non-directional (or two-tailed) Null hypothesis:
AND
non-directional (or two-tailed) Alternate hypothesis:
non-directional (or two-tailed) Null hypothesis: H0: µS = µC
non-directional (or two-tailed) Alternate hypothesis: HA: µS ≠ µC
What is the critical z value for Non-directional two-tailed test?
-1.96 and +1.96
What is the critical z value for Directional one-tailed test positive test?
+1.645
What is the critical z value for Directional one-tailed test negative test?
-1.645
What happens if the critical value of z for the Directional one-tailed negative test is lower or higher than -1.645?
Lower: you would reject the null hypothesis
Higher: nothing would happen it doesn’t matter you wouldn’t reject it
What happens if the critical value of z for the Directional one-tailed positive test is lower or higher than +1.645?
Lower: Nothing would happen it doesn’t matter you wouldn’t reject it
Higher: Then you would reject the null hypothesis
What happens if the critical value of z for the Non-directional two-tailed test is more lower than -1.96 or higher than +1.96?
Lower than -1.96: You would reject the null hypothesis
Inbetween -1.96 and +1.96: It doesn’t matter you wouldn’t reject it
Higher than +1.96: You would reject the null hypothesis