Nonparametric-Statistics-and-Correlation-A5
Answer questions associated with nonparametric statistics and correlation.
Question 2
There are 218 first graders in an elementary school. Of these first graders, 86 are boys, and 132 are girls. School-wide, there are 753 boys and 1063 girls. The principal would like to know if the gender ratio in first grade reflects the gender ratio across the school.
Complete the following:
- Identify the null hypothesis.
- What are the degrees of freedom (df)?
- Complete the table (complete in SPSS and paste the output into your Word document):
Question 2
Men Women Number Observed Number Expected Number Observed Number Expected - Calculate χ² in SPSS and paste the output into your Word document.
- Can you reject the null hypothesis at α = .05?
Question 3
You recently read a magazine article stating that professionals who attended college online tend to earn higher salaries than professionals who attended brick-and-mortar universities. Identify this study’s two variables.
Question 5
Group A (n = 12) has a mean score of 7.42. Group B (n = 12) has a mean score of 6.00. Standard deviation for scores across all participants is 1.369. Group A’s mean is significantly higher than Group B’s mean ( t = 2.84, α < .01).
- Calculate effect size using Cohen’s d and effect size r.
- Based on the effect size, it there a practical difference between Groups A and B?
Question 6
Assume Cohen’s d to be approximately .40. If conducting an independent samples t test (two-tail, α= .05), how many participants will you need in each group to achieve 90 percent (.90) power?
Question 7
Assume effect size η to be approximately .29. If conducting a one-way ANOVA (three groups, α = .05), how many participants will you need in each group to achieve 80 percent (.80) power.
Question 8
Which of the following scenarios might be analyzed using a correlation?
- The effectiveness of training A versus training B in raising skill level.
- Minutes spent exercising per week and physical fitness level.
- Income level and the number of visits to a financial planner.
- Beer brand preference among college students.
Question 9
Indicate if you expect the relationship between the following variables to be negative (-), positive (+), or zero (0):
- Size of yard and size of landscaping bill.
- Years of education and income level.
- Hours of TV watched per week and physical fitness level.
- Number of siblings and number of pets.
- Hours spent studying and exam scores.
Submission Requirements
- Submit all answers in one Word document (do not submit multiple files).
- Show your work for questions that require calculations.
- Ensure your answer to each problem is clearly visible (you may want to highlight your answer, or use a different font color, to set it apart).