Null and Alternative Hypotheses Questions

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Always save a copy of your responses to the individual assignments before you submit them (either by taking a picture of your answers or by copying and pasting your answers into a word document). You will need them for you discussion assignment and you will not always have access to your responses after you submit them.

For this assignment, you will read a few example studies and try to figure out the null and alternative hypotheses, and what the type I and type II errors would be in those situations.

Here’s an Example to give you an idea about what you’ll be doing: A researcher is interested in testing whether a new therapy for adolescent depression works to reduce depression. He measures depression before and after the therapy and he expects depression levels to decrease after therapy.

Hypotheses: Null Hypothesis: H0: depression after therapy ? depression before therapy (in other words, depression is the same or worse after therapy than it was before therapy);

Alternative Hypothesis: H1: depression after therapy < depression before therapy (in other words, depression is lower after therapy than it was before). This hypothesis is directional

Type I error: The researcher concludes that depression decreases after therapy, when in reality depression is the same or worse after therapy (in other words, the researcher concludes that the therapy works to reduce depression, when in reality it did not!).

Type II error: The concludes that depression levels are the same after therapy, when in reality they get better (in other words, the researcher concludes that the therapy did not work to reduce depression, when in reality it did!)