The document discusses the z-test, which is a hypothesis testing procedure that uses the z-statistic. It assumes the events under investigation follow the standard normal distribution. The z-test involves defining the null and alternative hypotheses, choosing the test statistic (the z-statistic), computing the critical region based on the significance level (typically 0.05 or 0.025), and determining whether the test statistic falls in the critical region to reject or fail to reject the null hypothesis. An example problem is provided to demonstrate how to perform a z-test.

1. Z-test, F-test,etc

2. Z-Test
It is a hypothesis testing procedure based on the
z-statistic which assumes that the probability
distribution of the events under investigation
follows the standard normal curve.
n
x
z x
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3. Key words
Hypothesis testing: Null Hypothesis vs
Alternative Hypothesis.
aHH vs0
Standard Normal
Probability Distribution.

4. Key words
Z-statistic
n
x
z x
x
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5. How to do the z-test
How to construct the null hypothesis and
alternative hypothesis

6. How to do the z-test

7. How to do the z-test
Common values for α are
0.05 and 0.025
error1Typeofyprobabilit
Define the probability of a Type I error
-the probability of rejecting the null
hypothesis when in fact it is true.

8. How to do the z-test
Choose the test-statistic

9. How to do the z-test
Compute the critical region (one-tailed test)

10. How to do the z-test
Set the critical region (two-tailed test)

11. Sample problem

12. Sample Problem

13. Sample Problem

14. Sample Problem

15. Sample Problem

16. Sample Problem