Question: (AF). A recent study examined whether psychological therapy can help teenage girls recover from anorexia, an eating disorder that can cause an individual to become dangerously underweight. Each girl’s weight was measured before and after a period of therapy. The variable of interest was the weight change, which is defined as:

Weight Change = Final Weight - Initial Weight.

Let µ be the population mean weight change for those who undergo psychological therapy for a period of time, and consider testing the null hypothesis that µ = 0 versus the alternative hypothesis that µ # 0.

1. In the context of this research, what would be a type I error and a type II error?
2. Suppose that the p-value is 0.02 and the test is conducted at the 5% significance level.
   - What conclusion would you make? Interpret the result.
   - If the conclusion is incorrect, what type of error have you made?
3. Suppose that the p-value is 0.02 and the test is conducted at the 1% significance level. - What conclusion would you make? Interpret the result.

- If the conclusion is incorrect, what type of error have you made?

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