Question

1. Pick a topic to investigate. Be certain to cite your source(s). You may research a topic about a population mean or a population proportion. Specify whether you are choosing the mean or proportion in your report. Explain why you find this topic interesting.

2. Collect or find a source to compare data on the same topic. If you are using a source, it should be cited. Create a confidence interval from the sample. For a sample proportion, use one-prop z interval. For a sample mean, select the T-interval. Be certain to test the conditions. Select your level of confidence: it should be 90%, 95% or 98%. Determine the margin of error for the interval. What is your sample size? How can you decrease your margin of error?

3. Test a hypothesis using the value that you obtained in part two about either the true population proportion or true mean. What are your null and alternative hypotheses? Do you have enough evidence to reject the null hypothesis when α=0.05.

4. Explain what the P-value means in the context of the situation.

5. Calculate the test statistic. Can you conclude whether to reject or fail to reject the null hypothesis by using your test statistic? Explain. Show calculations.

6. When you created your confidence interval in part 3, did that contradict your findings for the hypothesis test? Explain.

7. Write a conclusion regarding your findings.

Example: According the WorldAtlas.com “approximately 79% of the world’s population has brown eyes, which makes it the most popular color in the world.”

Answer 1

The below question is obtained from a medical magazine.

" A certain stimulus administered to each of the patients result in the following increases of blood pressure 5,2,8,-1,6,3,0,5,0,4,1. Can it be concluded that the stimulus in general will accompanied by an increase in blood pressure "

This topic is interesting due to it involves medical conditions..

Here we are interested whether population mean is greater than zero or not. For that that we conducted a one sample t test.

Assumptions for t test are:

Now back to our testing procedures....

• Sample size n =11
• Margin error can be decreased by increases sample size
• I used 95% confidence level ( significance level 5% for testing)

All other procedures and explanations are given below:

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