statistics
posted by annette on .
What is the correct methodology for defining null and alternative hypothesis? Give an example

Below are examples for a onesample test. For more than one sample, the hypotheses are set up a bit differently but the fundamentals are the same.
Options for the null (onesample):
Ho: µ = ? >meaning: population mean is equal to some value.
Or...
Ho: µ ≤ ? >meaning: population mean is less than or equal to some value.
Or...
Ho: µ ≥ ? >meaning: population mean is greater than or equal to some value.
The null hypothesis ALWAYS uses an equals sign.
Options for the alternative (onesample):
Ha: µ < ? >meaning: population mean is less than some value
Or...
Ha: µ > ? >meaning: population mean is greater than some value
Note: I am using a question mark in place of a specific value. Usually you will know what the value is depending on the information given in a problem.
I hope this will help and is what you were asking.