Determine what you would like to prove. Ask yourself whether you are testing a model or the relationship between two variables. Phrase what you would like to prove as a question. For example, you could ask whether a particular model for corn grown accounts for all variables or you could ask whether genetically altered corn grows faster than standard corn.
Write out what you think the answer to your question is. Word your hypothesis objectively and in the third person. A sample hypothesis might be that "the mathematical model for corn growth doesn't account for all variables." Label that hypothesis the research hypothesis (H1).
Develop the null hypothesis (H0). Write out a statement that directly competes with the research hypothesis. Test the null hypothesis to prove or disprove your research hypothesis. For example, the null hypothesis would be: "the mathematical model for corn growth accounts for all variables."
Write out the hypotheses in notational form if applicable. Type the symbol for the research hypothesis (H1) on the first line followed by a colon. Give the criterion for the test of your case study in mathematical notation. Insert the null hypothesis (H0) on the second line followed by a colon. Provide the same criterion but with the opposite mathematical operator. For example, if your case study tested whether dogs fed a specific brand of supplement could run faster than 7 miles per hour then your hypothesis would be:
H1 : µ(supplement) > 7
H0 : µ(supplement) =< 7