- Calculate confidence interval estimates for the proportion
i. State the confidence interval using the MoE. What does this confidence interval estimate?
ii. Use the Confidence Interval template (https://youtu.be/FzMapmQxJHk, https://youtu.be/ZqQdFEz2zw4, https://youtu.be/Nvs_7q4FJtU ) to calculate the confidence interval based on the sample size and the number of successes (the proportion you are interested in). Use a confidence level of 95%.
iii. What is the calculated confidence interval? How does this compare to the interval in part a using the poll’s margin of error? - Compute sample size needed for the confidence interval of the proportion.
i. Calculate the sample size needed for the given margin of error and see if the poll had enough people surveyed. Use the sample size template (https://youtu.be/0qIGSzocqmE, https://youtu.be/0qIGSzocqmE ) to find the sample size needed. - Describe hypothesis testing to test a population proportion
i. Suppose that you do not believe that the poll is accurate. You are to create a hypothesis test to determine the validity of the poll testing its proportion. - Describe what you feel the proportion should be (greater than, less than, or not equal to) in comparison to the proportion given.
- Write null hypothesis for the test.
- Write the alternate hypothesis for the test.
- Determine an appropriate level of significance for the test.
- Testing a Hypothesis about a Population proportion.
i. Suppose that you conduct a study on your situation in which the sample statistic produces a test statistic of 2.13. - Based upon your level of significance from 3 part 4, would you reject or fail to reject the null hypothesis? Explain your decision.
- Determine a level of significance that would have the opposite result of 4 a part i. Explain why this level of significance would have the opposite result.
Videos: https://youtu.be/7PRe4oX2B-s
https://youtu.be/ONKfxqjCHOk
https://youtu.be/7lH0rI1vtvU
Sample Solution