Question

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) A detailed discussion of your experimental design. b) How is randomization used in your sampling or assignment strategy? c) The type of inferential test utilized in your experiment. d) A formal statement of the null and alternative hypothesis for your test. e) A confidence interval for estimating the parameter in your test. f) An interpretation of your p-value and confidence interval, including what they mean in context of your experimental design

Answer 1

Solution :- Given that, = Hypothesis testing and confidence intervals are the most common inferential tools used in statistics. @ Now, we have to determine if a patient should be diagnosed with diabetes based on test results, blood ☺ now, Now, a sample site for we need this of > 30. We need accrately to check if blood test results predict the diabetes,

Nell hypothesis :- Hii blood test rescalts doesn't accurately predict the diabetes, Alternate hypothesis :- Hy blood test results accurately predict the diabetes, => Let's assume 95% confidence interval lohich means 95% chances that blood test results accurately predict the diabets, . In our research we take 30 diabetic patients and take their blood test. b) for 95% cī the blood test should correctly

M diagnose atleast 96% of patients - 95% of 30 = 28.5.29. Hence, If blood test results diagnose 29 or more patients as diabetic then we reject null fypothesis, b Now we have to interval means p-value 95% confidence of 0.05. = Lexuer the R value more accurate is our researchi A p-value of oool would mean that 99% Chance that blood test results accurately Predict the diabetes,