THE PROPOSAL:

1) Research Question (with Independent and Dependent Variable):

-How does the level of physical activity affect the mental well-being of adolescents who do physical activities compared to who don't?

2) State your null and two-tailed alternative hypothesis.

Null: There is no significant difference in mental well-being among adolescents based on their level of physical activity.

Alternative: There is a significant difference in mental well-being among adolescents based on their level of physical activity, indicating that physical activity does impact mental well-being in this population.

3) How will I define the dependent variable (e.g., operational definition):

I am going to operationalizemental well-being using a standardized questionnaire, such as the Warwick-Edinburgh Mental Well-being Scale or the Mental Health Continuum-Short Form. I could also utilize clinical interviews, self-report measures, or behavioral observations to evaluate mental health. The goal is to explicitly define the method I will use to evaluate this variable so that it can be examined repeatedly and accurately across all study participants.

4) What will be the sample(s) or group(s) of the independent variable?If just one sample or group, what will be the benchmark or test value against which the data are compared (e.g., 8 hour goal of sleep)?

The sample or groups of the independent variable in this case would be different levels of physical activity. I would use a specific guideline or suggestion for physical activity as a benchmark, such as the WHO's recommendation of at least 60 minutes of moderate to intense exercise per day for teenagers.

5) On what day and date will I begin recording my data? (You should expect to receive my comments within 48 hours of the due date)

I will start collecting data on April 1 and finish by April 15. I will perform analysis after data collection.

6) If data gathering, what will be my source of information? (e.g., census.gov;My source of information will be my own record-keeping at my place of work. If using previously collected data, indicate where you got it from.

I would collect data directly from adolescents and record their level of physical activity and mental health. This could include distributing questionnaires, conducting interviews, or applying additional methods for gathering data.

5) How will I record my data (e.g., notebook, Excel spreadsheet, phone, Smartwatch, download from Canvas)?

I will record my data in a notebook and then enter it into SPSS for analysis.

6) What kind of t-test will you perform? Explain your answer.

For the research question, I would most likely use an independent sample t-test. An independent sample t-test is used to compare the mean values of two independent groups to see if there is a difference of statistical significance between them. I would compare adolescents' mental well-being scores with their levels of physical activity (sedentary, moderately active, and extremely active). I will utilize this test to determine whether there is significant variation in mental well-being scores among the various levels of physical activity. The t-test will assist assess if any detected variations are likely to be caused by varying levels of physical activity or by chance.

T-TEST PROJECT

-How does the level of physical activity affect the mental well-being of adolescents who do physical activities compared to who don't?

1) What is the goal of your project?

2) How did you measure your study variables?

3) What is your prediction (hypothesis) for your study? Is it one-tailed or two-tailed? What is the rationale for your hypothesis?

4) Provide spss output relevant to your analysis.

• For an independent samples t-test, group statistics, the independent samples test and the independent samples effect sizes are expected.
• For a paired samples t-test, paired samples statistics and paired samples tests are expected