As we have seen in class, hypothesis testing and confidence intervals are the most common inferential tools used in statistics. Imagine that you have been tasked with designing an experiment to determine reliably if a patient should be diagnosed with diabetes based on their blood test results. Create a short outline of your experiment, including all of the following:
A detailed discussion of your experimental design.
How is randomization used in your sampling or assignment strategy?
The type of inferential test utilized in your experiment.
A formal statement of the null and alternative hypothesis for your test.
A confidence interval for estimating the parameter in your test.
An interpretation of your p-value and confidence interval, including what they mean in context of your experimental design
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