Question

1. 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:
   1. 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. Sample size has to be 25 or less.

2. 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?
3. The type of inferential test utilized in your experiment. Include type of test used, number of tails, and a justification for this choice.
4. 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.

5. 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.

6. An interpretation of your p-value and confidence interval, including what they mean in the context of your experimental design. Answer each part below. State your significance level, interpret your p-value, and make a decision on the null.

Answer 1

Answer:-

Given That:-

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:

a. Answer:

for my expenmeni. I chose ten values between 131 and 139 from random.org which gave me a new mean of 136.2 and a standard deviation of 3.82 I used a t-test because sigma was unknown and we had the mean which was 140.

Given that infomsation, my p-value ended up being .9941

a. Answer:

Randomization is used in my sampling by using a random number generator from random.org to choose random glucose levels.

b. Answer:

I have a right-tailed test in my experiment.

c. Answer:

Ho: = 136.2

Ha: > 136.2

a. Answer:

The confidence inierval is (132.27,140.13)

a. Answer:

My confidence nutria! is (132.27,140.13) anything that lies outside of those numbers are considered to be outside of my confidence Ievel My new sample mean. 136.2, lies inside of my confidence Interval. My p-value is .9941. Which means it is closer to 100% in other words, the results were significantly high.

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