Project #3: Lessons 7-9 The Central Limit Theorem for Proportions Student name: Project Goal: To explore the Central Limit Theorem for Proportions using observed data. Directions Overview: You will research and write a report about a categorical variable from an identified population. For all written responses, use full sentences and justify your answers using specific details or values as appropriate. 1. Do a web search to find a proportion related to s categorical variable that interests you. The categorical variable must have only two categories, such as "yes" and "no." A Write a sentence that identifies the proportion. (Example: 77% (p=0.77) of American women use Facebook, according to Pew Research. httpsw/www.pewresearch.org/fact- tank/2021/06/01/facts-about-americans-and-facebook) B. Identify the population implied by your proportion. See Previews 2A and 9A for a few examples of identifying samples and populations. (Example: The population is all American women.) C. Write a sentence that identifies the categorical variable. (Example: The categorical variable is whether or not a woman uses Facebook.) For the rest of the project, we will assume that the proportion you identified in Question 1 is a population proportion. In Question 2, you will design your data collection process. Later in the project, you will compare your sample proportion to the assumed population proportion using Central Limit Theorem concepts. 2. Design your data collection process. A. What is your survey question? Be sure that it aligns with the categorical variable you identified in Question 1 Part C. (Example, "Do you use Facebook, yes or no?") B. How will you conduct your survey? (Example: I will use a combination of in-person interviews with female adult family and friends, and an Instagram poll. I will exclude any Instagram poll responses from males and children.)