If the null hypothesis for the example survey posted is "There is no correlation between level of drug use and satisfaction with one's personal life."
What are the three possible alternative hypotheses that could be stated, using only the variables and statistical test described in the null hypothesis?
Ho: No relationship
Ha1: Positive relationship
Ha2: Negative relationship
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To generate alternative hypotheses based on the given null hypothesis, "There is no correlation between level of drug use and satisfaction with one's personal life," we need to consider different possibilities for the relationship between these variables. Here are three possible alternative hypotheses:
1. The alternative hypothesis can state that there is a positive correlation between level of drug use and satisfaction with one's personal life. This suggests that as the level of drug use increases, satisfaction with one's personal life also increases.
2. The alternative hypothesis can state that there is a negative correlation between level of drug use and satisfaction with one's personal life. This suggests that as the level of drug use increases, satisfaction with one's personal life decreases.
3. The alternative hypothesis can state that there is a nonlinear relationship or curvilinear correlation between the variables. This means that the relationship between level of drug use and satisfaction with one's personal life is not a simple straight line, but rather has a curved shape.
To test these alternative hypotheses, you can use a statistical test such as correlation analysis, specifically Pearson's correlation coefficient, to determine the strength and direction of the relationship between the variables.