MAT274 | Probability in Mathematics - Grand canyon university
- 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 the following:
In part a, b, c, d, you are expected to design your experiment and provide hypotheses. Provide as much details as possible. This is kind of research proposal. If you have enough time, you may actually carry out your research and provide results in part e and f. However, it might not be feasible to do that in a limited time. Hence, you may just talk about those items in part e and f. For example, you may not have actual lower limit and upper limit, but can discuss what those items mean in the context of your research. You need to discuss all items in part e and f. For the last item(make a decision on the null.), you can talk about what we can do about the null hypothesis based on p-value. You may not have an actual p-value, but you can talk about the decision on the null hypothesis, for example, if p-value is less than or equal to …, then …… If p-value is greater than …., then ….. For null hypothesis, you can just use H0. For alternative hypothesis, you can use H1.
- a). A detailed discussion of your experimental design. (Detailed experimental design should include the type of experiment, how you chose your sample size, what data is being collected, and how you would collect that data.)
- b). How is randomization used in your sampling or assignment strategy? (Remember to discuss how you would randomize for sampling and assignment, what type of randomization are you using? )
- c). The type of inferential test utilized in your experiment.(Include type of test used, number of tails, and a justification for this choice.)
- d). A formal statement of the null and alternative hypothesis for your test.(Make sure to include correct statistical notation for the formal null and alternative, do not just state this in words. )
- e). A confidence interval for estimating the parameter in your test.(State and discuss your chosen confidence level, why this is appropriate, and interpret the lower and upper limits.
- f). An interpretation of your p-value and confidence interval, including what they mean in the context of your experimental design.(State your significance level, interpret your p-value, and make a decision on the null.)
Please review Project Detailed Checklist document.