Project #3: Lessons 7-9 The Central Limit Theorem for Proportions A. What is your survey question? Be sure that it aligns with the categorical variable you is not 30, 120, or 480, add a row to the table and perform the calculations for the sampling Student name: identified in Question 1 Part C. (Example, "Do you use Facebook, yes or no?" distribution of the sample proportion for your sample size. Do you have a cellphone? The symbol up stands for the mean of the sampling distribution of the sample proportion. The Project Goal: To explore the Central Limit Theorem for Proportions using symbol Go stands for the standard deviation of the sampling distribution of the sample observed data. How many cellphones do you have? proportion. Show your work how important cell phone right now in today generation? Sample Size He = P p(1 - p) Directions Overview: You will research and write a report about a n categorical variable from an identified population. For all written responses, B. How will you conduct your survey? (Example: I will use a combination of in-person 1 = 30 Op = use full sentences and justify your answers using specific details or values nterviews with female adult family and friends, and an Instagram poll. I will exclude any as appropriate. Instagram poll responses from males and children.) n = 120 HO = I will I use the social media platform, like asking students via Facebook, twitter, Instagram, etc. and. n = 480 HO = 1. Do a web search to find a proportion related to a categorical variable that interests you. The also, I can also use in-persons interviews with friends and relatives who are students 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 6. What do you notice happens to the standard deviation as the sample size increases from 30 to women use Facebook, according to Pew Research. https://www.pewresearch.org/fact- To set you up for success in the rest of this project, you must earn a 120. and from 120 to 480? (Hint: Does the standard deviation change in a pattern? If so, tank/2021/06/01/facts-about-americans-and-facebook) Suppose that a market research score of 15 points on the Project 3 Topic Approval rubric before identify the pattern.) film is hired to estimate the percent of students living in a large any who have cellphones.500 randomly sleeted students. Are surveyed and 95% of them have STOP proceeding. Submit your tions 1 and 2 in the assignment called Project cellphones while 5% have no cellphones al. Scoring 15 points may require several re revisions, but you can streamline the feedback 6. In statistics, we often call values "usual" when they are within 2 standard deviations of the process by communicating with your instructor in person or via mean. Using your sample size and the assumed population proportion, write a sentence that identifies the usual values of the sample proportion. Zoom. B. Identify the population implied by your proportion. See Previews 2A and 9A for a few In Question 3, you will record your survey results. examples of identifying samples and populations. (Example: The population is all 7. Using technology. and the identified population proportion, create the sampling distribution for American women.) each of the three sample sizes, and set the number of simulations to at least 1.000. Include a 3. Take a sample of at least n=30 according to your approved plan from Question 2. In the table screen clip of each of these sampling distributions and the summary statistics. (Hint: Consider The population is all students living in the large city below, enter the individual responses from each of your survey respondents, typically "yes" or using the Sampling Distribution of the Sample Proportion App "no." If your sample size is greater than 30, add rows in the table to record all results. https://domathpathways.shinyapps.io/SampDist prop/) B. In a paragraph (3-4 sentences), describe the shape, center, and spread of the three simulated C. Write a sentence that identifies the categorical variable. (Example: The categorical sampling distributions of the sample proportion from Question 7. Do these align with what the variable is whether or not a woman uses Facebook.) Central Limit Theorem predicts? (Hint: You predicted the means and standard deviations in Question 4, and the Central Limit Theorem also predicts the shape of the distribution. See In- Do you have a cellphone Class Activity 90 for more details.) For the rest of the project, we will assume that the proportion you identified In Questions 4 through 8, you will use the Central Limit Theorem for in Question 1 is a population proportion. In Question 2, you will design your Proportions to predict usual values of sample proportions, assuming the In Question 9 through 11 you will apply what you predicted in Questions 4 data collection process. Later in the project, you will compare your sample population proportion you identified in Question 1 is accurate. through 8 to the sample you recorded in Question 3. proportion to the assumed population proportion using Central Limit 8. Using technology. create a bar chart for your qualitative variable. Be sure to include descriptive Theorem concepts. 4. Using the identified population proportion from Question 1. and The Central Limit Theorem for labels in your bar chart. Include a screen clip of your bar chart here. (Hint: Consider using the Proportions, calculate the mean and the standard deviation for the sampling distribution of the sample proportion, for the three sample sizes given below. If your sample size from Question 3 Describing and Exploring Categorial Data App 2. Design your data collection process. https://dcmathpathways.shinyapps.io/EDA_categorical/)