In Quest of the Perfect Hypothesis Test
(AKA Significance Test)


State what kind of distribution is appropriate for the data
Normal   t     Binomial  Geometric  Chi- Square  Poisson   or other
 
AND state if you are you comparing
 A population to a sample (called a 1 sample _____  distribution) (fill in blank with the word “normal” or “z”  or “binomial” ect)
 OR are you comparing two samples to each other (called a 2 sample_____ distribution)

Choose type of test:
 1 tailed test (< or >) or a 2 tailed test (not equal)
 A sketch is good idea

Use correct format of H0 and Ha
 H0 :  ____= ____
 Ha:  _____ >, <, or not equal  ____
Or state null and alternative hypothesis using sentences.
 In general, use Greek symbols in hypothesis,  not regular alphabetic symbols
****If you are going to set an alpha, do it HERE ****

Correct calculation of standard deviation
 This is determined by knowing which distribution you chose.

Correctly calculate test statistic (the z score, or t, or chi--square)

Correct P-value (doubled for two tailed)

Correct decision  In general, a small P-value indicates you should reject H0.  A large P-value indicates you should fail to reject.

Correct and complete statement of conclusion, restating the question.
 Example of a perfect conclusion: “I reject the null hypothesis.  Since the possibility of having a sample mean of 20.1 is so small when the population mean is 18.2, (P-value of .0002) I conclude that Logan High’s mean ACT is truly different from the national mean ACT."
OR:  "I fail to reject the null hypothesis.  There is not enough evidence to show that the sample mean of 18.1 is different from the population mean of 18.2.  My  P-value of .31 indicates I could have gotten results this close to the population mean in random samples 31% of the time. "

Always use excellent organization, clarity and readability.