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A fictional statistical representation of school lunch programs

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I need help with a fictional statistic example of schools with low, med, and high participation in free school lunches. The question would be: Does the level of participation of free lunch programs in schools make a difference in the children's actual participation?
This example will need to include a description of the 5-steps of hypothesis testing,
Identify at least one potential confounding variable,
One graphic representation of the data (table or figure) and
An ANOVA summary table, step by step details of the descriptive and inferential statistics that are calculated using definitional formulas.

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Solution Summary

This solution provides a fictional statistical example of school lunch programs, including a description of the 5 steps of hypothesis testing, a confound, a graphical description, and an ANOVA summary table.

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Hello,

I have attached a fully detailed answer to your question, I hope that this helps you!

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For this example, we are looking to see if there is any significant difference between populations of students in their level of participation in class, based on whether their particular school has a low, medium, or high participation in free lunch programs. To start off, let's take a look at the five important steps of hypothesis testing when making a statistical analysis:

1. State the research question
The first step is to state the research problem in terms of a question that defines the populations of interest , as well as the variable that is being studied and the parameters of the said variable. In the fictional example given above, our question would be along the lines of: Is there a significant difference in the level of ...

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