Unit 9 Stats responses

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Nov 24, 2024

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Find a classmate’s initial post and review their responses in part 3 from post 1 to answer the following questions. Do you agree with the margin of error, E, that was calculated? If yes, what is the margin of error and what does it tell you? If not, correct it showing the correct steps. Do you think that it is ever possible to use a sample to estimate a population parameter with 100% accuracy? Explain. Post 2 – Response 1 Hello Marc, Thank you for your detailed explanation of your calculations. Based on your data, you obtained a mean of 13 and a standard deviation of 1.116. Based on these values, the margin of error would be (1.96 x 1.116)/√31 which is 0.393. Therefore, your calculations are correct. The margin of error of 0.393 tells us that the average age of menarche for the entire population is 13 ± 0.393 years. It is never possible to use a sample to estimate a population parameter with 100% accuracy because the sample cannot be 100 percent representative of the population. We can only use a confidence level to quantify the level of accuracy of our findings. Obtaining 100% accuracy would require sampling the entire population, which is not practical given the large size of a population and time and resources constraints. Cynthia. Find another classmate’s initial post and write down the margin of error that they calculated. You will use that value in another context. As another election cycle begins this fall, you will likely hear newscasters state poll data and then mention the margin of error. For example: "Polls show that among likely voters in the Make-Believetown Governor’s race, Bad Wolf is currently leading with 43% of expected votes, Little Pig has 41%, and 16% are undecided. The poll has a margin of error of 4%.” Instead of the 4% margin of error currently in the example, use the margin of error from your classmate as the new margin of error% for the poll.

Write a brief paragraph explaining who you believe will be the next imaginary governor of Make Believetown and why. Use the information you know about the margin of error to make your case. Hi Jessie, Thanks for your post and for showing your calculations in part 3 of the discussion question. You got your margin of error as 8.3. In statistics, the margin of error tells us how many percentage points the results will differ from the real population value ( Gupta & Kapoor, 2020). With a margin of error of 8.3% instead of 4%, the probability of Bad Wolf winning is between 34.7% and 51.3% and that of Little Pig is between 32.7% and 49.3%. With 16% of the voters being undecided, and given the margin of error for each candidate, Bad Wolf stands a higher chance of becoming the next governor of Make Believetown with over 50% of the total votes. Thank you for sharing. References Gupta, S. C., & Kapoor, V. K. (2020). Fundamentals of mathematical statistics . Sultan Chand & Sons.

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