applied exam

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School

University of Arkansas *

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Course

009

Subject

Statistics

Date

Jan 9, 2024

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pdf

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Uploaded by ChiefWaterCrab19

P RINCIPLES OF S TATISTICS STAT 2303 - E XAM 1 *APPLIED* - 1 - | P a g e S . R o b i n s o n - Exam #1 *APPLIED* Component - ( Answer ALL of the Following Questions/Sections ) For the following, utilize StatCrunch (as needed) to answer each part of ALL questions/sections. Provide ALL StatCrunch work in your submission in some form. Example provided below, where a results table has been copied and pasted from StatCrunch output: Two sample proportion summary confidence interval: p 1 : proportion of successes for population 1 p 2 : proportion of successes for population 2 p 1 - p 2 : Difference in proportions 95% confidence interval results: Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p 1 - p 2 50 100 75 120 -0.125 0.06673 -0.25579 0.00579 Credit will only be given if ALL relevant StatCrunch work is shown. Round ALL answers to three decimal places. - Submission Due Date & Instructions - Please note that the applied component is 20% of your overall Exam 1 score! Make sure to turn it in! J Exams should be submitted only once and should be submitted via Blackboard by the due date. Late submissions will not be accepted. - Applied Prompt & Questions - The recent pandemic has dramatically changed many of our lives in so many ways. From a public health perspective, there has been great interest in understanding the factors that might contribute to or directly impact the severity of CoVID-19. A researcher wishes to evaluate the severity of CoVID-19 (“low” i.e., asymptomatic/mild or “high” i.e., severe/critical) for patients with different self-described smoking histories (current, former, or never smoker). In order to assess the possible relationship between CoVID-19 severity and patient smoking history, data for CoVID-19 patients from a local hospital were collected and are provided in a data table. *Note: The ‘CoVID-19 Data’ is provided on Blackboard or was emailed to you by your instructor. Your instructor will supply the data table to you by either posting the data table in your course Blackboard page along with these guidelines or by sending you the data table via university email. Different sections of the course and even different students within each section of the course may have different data tables. Consequently, use ONLY the data supplied to you directly from your instructor to complete the following prompts. Failing to do so could result in your answers being incorrect.

STAT 2303 Exam 1 - APPLIED - 2 - | P a g e S . R o b i n s o n 1) Using the data table, find and report the following probabilities: a. The probability that one randomly selected patient is experiencing High CoVID-19 severity given they are a Never Smoker i.e., ࠵?(High | Never) . b. The probability that one randomly selected patient is experiencing High CoVID-19 severity given they are an “Ever” Smoker meaning that they are a Current or Former Smoker, i.e., ࠵?(High | Current or Former) . 2) Using StatCrunch * and the available data, construct a 99% Confidence Interval for the proportion of all patients experiencing High CoVID-19 severity if they are a Never Smoker. Let ࠵?(High | Never) = ࠵?̂ !"#"$ a. Report the confidence interval using proper notation . b. In one to two complete sentences, state an interpretation for this confidence interval. 3) Using StatCrunch * and the available data, construct a 99% Confidence Interval for the proportion of all patients experiencing High CoVID-19 severity if they are an “Ever” Smoker (i.e., they are a Current or Former Smoker. Let ࠵?(High | Current or Former) = ࠵?̂ %#"$ a. Report the confidence interval using proper notation . b. In one to two complete sentences, state an interpretation for this confidence interval. 4) One research question that could be posed using the available data: “Is there an advantage to being a Never smoker when it comes to CoVID-19 severity?” Essentially, we would like to know if the rate of High CoVID-19 severity is lower for Never smokers than it is for Current/Former smokers. Determine a method that would be appropriate for answering this research question. Using StatCrunch * and the available data, perform the statistical procedure deemed appropriate. Hint : In order to adequately answer this question, you will need to perform an additional statistical procedure and go beyond the CI estimates already constructed in Questions 2-3 above. a. What method did you use to answer the research question e.g., One-Sample t-Test for Means? b. Why did you select this particular method to answer the research question? c. In one to two complete sentences, summarize and interpret the relevant findings of your analysis in the context of the research question i.e., what do the findings suggest about the impact of smoking history on CoVID-19 severity? d. If your findings in 4c were surprising, what might we be missing? Suggest another factor or factors that might be missing in the current study, leading us to this surprising result. * Please remember to submit all StatCrunch work used for your responses to Questions 2-4.

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