# Types of Hypothesis Testing

Calculate the Test Statistic and Corresponding P-Value

Then double this probability to get the p-value. If your test statistic is positive, first find the probability that Z is greater than your test statistic (look up your test statistic on the Z-table, find its corresponding probability, and subtract it from one).

source: dummies.com
Drawing a Conclusion

While hypothesis testing is the most common procedure for answering questions such as “are children in Samoa further from their mothers than children in Samoa?”, the use of confidence intervals or effect size measures in conjunction with hypothesis testing as a means to shed light on the phenomena discussed.

source: wise.cgu.edu
Set the Significance Level (a)

Hypothesis Testing Significance levels. The level of statistical significance is often expressed as the so-called p-value. Depending on the statistical test you have chosen, you will calculate a probability (i.e., the p-value) of observing your sample results (or more extreme) given that the null hypothesis is true.

Specify the Null Hypothesis

This because in the course of a statistical test you either reject the Null-Hypothesis (and favor the Alternative Hypothesis) or you cannot reject it. Since your "goal" is to reject the Null-Hypothesis you set it to the outcome you do not want to be true.

Step 1: State the Null Hypothesis

Step 1: State Null and Alternative Hypotheses. Null Hypothesis: Population proportion of left-handed students in the College of Art and Architecture = 0.10 (p = 0.10). Alternative Hypothesis: Population proportion of left-handed students in the College of Art and Architecture > 0.10 (p > 0.10).

Step 2: State the Alternative Hypothesis

Step 2: State the Alternative Hypothesis $H_A: \text{ treatment level means not all equal}$ The reason we state the alternative hypothesis this way is that if the Null is rejected, there are many possibilities.

Step 5: Calculate a Test Statistic

We use right tail hypothesis testing to see if the z score is below the significance level critical value, in which case we cannot reject the null hypothesis as true. The right tail method, just like the left tail, has a critical value.

Step 6: Construct Acceptance / Rejection Regions

Step 6: Construct Acceptance / Rejection regions As with all other test statistics, a threshold (critical) value of F is established. This F value can be obtained from statistical tables, and is referred to as F critical or $$F_\alpha$$.

Step 7

Step 7: Based on steps 5 and 6, draw a conclusion about H 0. If the F calculated from the data is larger than the Fα, then you are in the Rejection region and you can reject the Null Hypothesis with (1-α) level of confidence. Note that modern statistical software condenses step 6 and 7 by providing a p-value.