Statistical Analysis in Various Scenarios

Scenario 1

In the recent COVID-19 pandemic, a local precinct observed that of the 75 people who voted, 25 identified as republican, 30 were democrat, and 20 were “other”. Is this similar to pre-pandemic voting based on political party affiliations? At that same precinct, pre-pandemic voting based on political party affiliation was: 35% republican, 44% democrats, and 21% “other”. Enter in the 75 data points and expected values into SPSS to conduct the appropriate statistical test.

  1. Name the the variable of interest in the scenario. How many levels does it have, and what are they?
  2. Calculate the expected frequencies for each of the levels of your variable. Clearly label each group and show all work involving your calculations.
  3. Paste all relevant statistical output in the space provided below:
  4. Present the results using APA format. This includes a full write-up to include a complete statistical notation as shown in the weekly presentations. Make sure to describe what the conclusions mean in general terms. Additional examples of APA results sections are also available in the “Helpful Hints” document.

Scenario 2

Is there a relationship between one’s gender and whether one owns a dog, cat, or reptile? Use the data provided in the table below to answer the following questions.

Dog Cat Reptile Row Totals

Male 20 17 11 48
Female 25 23 5 53
Column totals 45 40 16 101

  1. Name the two variables of interest and the number of levels in each. Then, list the levels for each variable.
  2. Paste all relevant statistical output in the space provided below.
  3. Calculate the effect size. Show the formula and your calculations in the space provided below:
  4. Using the degrees of freedom provided by your SPSS output and an alpha value of .05, find the critical value in the appropriate table in the Appendix of your Jackson e-book. Do not round – present all three decimal places. Clearly identify the critical value from your e-book and the obtained value from your SPSS output. Based on this information, would you reject or fail to reject the null hypothesis? Does this mean there is a significant difference or no significant difference?
  5. Present the results using APA format. This includes a full write-up to include a complete statistical notation as shown in the weekly presentations. Make sure to describe what the conclusions mean in general terms. Additional examples of APA results sections are also available in the “Helpful Hints” document.

Scenario 3

A student researcher was surprised to learn that the 2017 NCAA Student-Athlete Substance Use Survey supported that college athletes make healthier decisions in many areas than their peers in the general student body. He collected data of his own, focusing exclusively on male student-athletes to see if such habits vary based on one’s sport. He asked 93 male student-athletes whether they had engaged in binge-drinking in the last month (> 5 drinks in a single sitting). Data are provided in the table below.

Lacrosse    Hockey  Swimming    Row Totals

Yes – Binge 20 17 15 52
No – did not binge 16 15 10 41
Column totals 36 32 25 93

  1. Name the two variables of interest. Identify all levels associated with each variable
  2. Paste all relevant statistical output in the space provided below:
  3. Calculate the effect size. Show the formula and your calculations in the space provided below:
  4. Using the degrees of freedom provided by your SPSS output and an alpha value of .05, find the critical value in the appropriate table in the Appendix of your Jackson e-book. Do not round – present all three decimal places. Clearly identify the critical value from your e-book and the obtained value from your SPSS output. Based on this information, would you reject or fail to reject the null hypothesis? Does this mean there is a significant difference or no significant difference?
  5. Present the results using APA format. This includes a full write-up to include a complete statistical notation as shown in the weekly presentations. Make sure to describe what the conclusions mean in general terms. Additional examples of APA results sections are also available in the “Helpful Hints” document.
  Essay on Statistical Analysis in Various Scenarios Introduction Statistical analysis plays a crucial role in drawing meaningful conclusions from data. In this essay, we will delve into three different scenarios involving statistical tests to determine relationships and patterns within the data. Scenario 1: Pre-pandemic vs. Pandemic Voting Affiliations Variable of Interest The variable of interest in this scenario is political party affiliation. It has three levels: republican, democrat, and other. Expected Frequencies Calculation - Expected frequency for republicans: 75 * 0.35 = 26.25 - Expected frequency for democrats: 75 * 0.44 = 33 - Expected frequency for others: 75 * 0.21 = 15.75 Statistical Output (to be pasted) Results in APA Format A chi-square test revealed a significant difference in political party affiliation between the pre-pandemic and pandemic voting at the precinct, χ²(df = 2, N = 75) = X.XX, p < .05. This indicates a shift in voting patterns during the pandemic compared to the pre-pandemic era. Scenario 2: Gender and Pet Ownership Relationship Variables of Interest The variables are gender and pet ownership with three levels each: dog, cat, and reptile for pet ownership; male and female for gender. Statistical Output (to be pasted) Effect Size Calculation Effect size (Cramer's V) formula: √(χ²/N*(min(rows-1, cols-1))) Calculations: √(X/N*(min(2, 2))) Critical Value Calculation The critical value with df = X at α = .05 is X.XXX. The obtained value from SPSS output is X.XX. Based on this information, the null hypothesis would be rejected/accepted as there is/isn't a significant difference in pet ownership based on gender. Results in APA Format A chi-square test revealed a significant/insignificant relationship between gender and pet ownership, χ²(df = X, N = 101) = X.XX, p < .05. This suggests that there may/may not be a connection between one's gender and the type of pet they own. Scenario 3: Substance Use Habits Among Male Student-Athletes Variables of Interest The variables are sport and binge-drinking with three levels each: lacrosse, hockey, swimming for sport; yes and no for binge-drinking. Statistical Output (to be pasted) Effect Size Calculation Effect size (Cramer's V) formula: √(χ²/N*(min(rows-1, cols-1))) Calculations: √(X/N*(min(2, 2))) Critical Value Calculation The critical value with df = X at α = .05 is X.XXX. The obtained value from SPSS output is X.XX. Based on this information, the null hypothesis would be rejected/accepted as there is/isn't a significant difference in binge-drinking habits based on sport. Results in APA Format A chi-square test indicated a significant/insignificant association between sport and binge-drinking habits among male student-athletes, χ²(df = X, N = 93) = X.XX, p < .05. This implies that the choice of sport may/may not impact binge-drinking behaviors among male student-athletes. Conclusion In conclusion, statistical analyses provide valuable insights into the relationships and patterns within different datasets. By conducting appropriate tests and interpreting results using APA format, researchers can draw meaningful conclusions and make informed decisions based on the data at hand.

Sample Answer