Foundations for Inference & Introduction to Jeffrey’s Amazing Statistics Program (JASP)

June 15, 2023 Discipline: Statistics

Read:

Chapter 5 of the textbook (Diez, D. M., Barr, C. D., & Çetinkaya-Rundel, M. (2019). Openintro statistics – Fourth edition. Open Textbook Library. https://www.biostat.jhsph.edu/~iruczins/teaching/books/2019.openintro.statistics.pdf .)
Page 2-31 (Goss-Sampson, M. A. (2022). Statistical analysis in JASP: A guide for students (5^th ed., JASP v0.16.1 2022). https://jasp-stats.org/wp-content/uploads/2022/04/Statistical-Analysis-in-JASP-A-Students-Guide-v16.pdf licensed under CC BY 4.0)

Watch:

OpenIntroOrg. (2019a, September 02). Foundations for inference: Point estimates [Video]. YouTube. https://youtu.be/oLW_uzkPZGA.
OpenIntroOrg. (2019b, September 6). Intro to confidence intervals via proportions [Video]. YouTube. https://youtu.be/A6_W8qY8zJo.
JASP Statistics. (2022, October 05). Introduction to JASP [Video]. YouTube. https://youtu.be/APRaBFC2lEQ.

For DISCUSSION POST:

Look at the graph [Attachment]
Then, answer the questions:

1. The graph shows the simulation of 25 intervals from 25 samples proportions with a 95% confidence level. One interval missed the population parameter (p=0.88)

(a) What is the formula for the confidence interval for a sample proportion?
(b) What parameters of the formula above can you modify to ensure that the confidence interval captures the population parameter?

2. List the conditions necessary for the CLT to hold. Make sure to list alternative conditions for when we know the population distribution is normal vs. when we do not know what the population distribution is; and then when the sample size is barely over 30 vs. when it’s very large.
3. Explain in your own words, the difference between standard error and margin of error.

***Note: Please include in-text citations and references.

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