The main topic for the assignment is "does alcoholism have an effect on marriages" I did a survey out of 30 people and 17 said yes it had an effect and 13 people said no it did not have an effect. I'm suppose to answer the following questions with the data I have gathered above. 17 people were effected by alcoholism in their marriage and 13 of them were not effected.

In Questions 4 through 8, you will use the Central Limit Theorem for Proportions to predict usual values of sample proportions, assuming the population proportion you identified in Question 1 is accurate. Using the identified population proportion from Question 1, and The Central Limit Theorem for 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 is not 30, 120, or 480, add a row to the table and perform the calculations for the sampling distribution of the sample proportion for your sample size. The symbol stands for the mean of the sampling distribution of the sample proportion. The symbol stands for the standard deviation of the sampling distribution of the sample proportion. Show your work. Sample Size What do you notice happens to the standard deviation as the sample size increases from 30 to 120, and from 120 to 480? (Hint: Does the standard deviation change in a pattern? If so, identify the pattern.) In statistics, we often call values "usual" when they are within 2 standard deviations of the mean. Using your sample size and the assumed population proportion, write a sentence that identifies the usual values of the sample proportion. Using technology, and the identified population proportion, create the sampling distribution for each of the three sample sizes, and set the number of simulations to at least 1,000. Include a screen clip of each of these sampling distributions and the summary statistics. (Hint: Consider using the Sampling Distribution of the Sample Proportion App https://dcmathpathways.shinyapps.io/SampDist_prop/) describe the shape, center, and spread of the three simulated sampling distributions of the sample proportion from Question 7. Do these align with what the 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) In Question 9 through 11 you will apply what you predicted in Questions 4 through 8 to the sample you recorded in Question 3. Using technology, create a bar chart for your qualitative variable. Be sure to include descriptive labels in your bar chart. Include a screen clip of your bar chart here. (Hint: Consider using the Describing and Exploring Categorial Data App https://dcmathpathways.shinyapps.io/EDA_categorical/) What is the sample proportion? Use appropriate notation and show the calculations. Include the numerical values for the success size, the sample size, and the decimal equivalent of the proportion. compare the sample proportion to your assumed population proportion. (Hint: Are they close to each other or far apart? Did your sample proportion surprise you? Is your sample proportion a "usual" value?) Identify and explain at least one type of bias that could be present in your sample collection procedure. For Question 13, you will write a Final Report that summarizes and builds upon all your work from Questions 1 through 12. Write a Final Report for this project. This is a cohesive report, not a series of responses to questions. Use the following guidelines to structure your report: Introduction: Set the stage for your report by providing an overview of the categorical variable from your identified population. Include the identified population proportion and cite the source. Describe the process: How did you take your sample, what type of sampling did you use, and what bias(es) do you think might be present? Refer to Preview 2B for a discussion of sampling concepts and In-Class Activity 2B for a discussion of bias. Results: Summarize the results from your research and discuss how close your population proportion was to your sample proportion. Include any graphs and/or calculations that support your analysis. Conclusion: Provide an overview of the research you conducted. Include 2-3 good statistical questions related to your research you would like to investigate further. Include reflections about the project that would add insight