Hypothesis testing is a statistical method that uses data to evaluate a hypothesis about a population (Gravetter, Wallnau & Forzano, XXXXXXXXXXOutline the four steps that allow us to use sample data...

Hypothesis testing is a statistical method that uses data to evaluate a hypothesis about a population (Gravetter, Wallnau & Forzano, 2018). Outline the four steps that allow us to use sample data to answer questions about an unknown population and include your own examples following each step. (20 marks) 2. Explain the differences between the Pearson Correlation and the Spearman Rank Correlation. Also, include an example of your own to aid in your explanation of each correlation. (10 marks) 3. Explain the differences between the Chi-Square Test for Independence and the t-Test for independent samples. Also, include an example of your own to aid in your explanation of each test. (10 marks)


The South African College of Applied Psychology (Pty) Ltd Statistics for the Social Sciences Assessment 2 Module Name: Statistics for the Social Sciences Assessment 2: Hypothesis Testing, Correlation, Chi-Square, Dependent and Independent T-Tests Start date: Session 8 End date: Session 10 Marks: 100 marks (40% of overall grade) Instructions: 1. Complete all the questions 2. Show all your calculations 3. As far as possible, round off/up to two decimal places SECTION A: Short Questions Section Total: 40 Marks 1. Hypothesis testing is a statistical method that uses data to evaluate a hypothesis about a population (Gravetter, Wallnau & Forzano, 2018). Outline the four steps that allow us to use sample data to answer questions about an unknown population and include your own examples following each step. (20 marks) 2. Explain the differences between the Pearson Correlation and the Spearman Rank Correlation. Also, include an example of your own to aid in your explanation of each correlation. (10 marks) 3. Explain the differences between the Chi-Square Test for Independence and the t-Test for independent samples. Also, include an example of your own to aid in your explanation of each test. (10 marks) The South African College of Applied Psychology (Pty) Ltd Statistics for the Social Sciences Assessment 2 SECTION B: Calculations Section Total: 60 Marks 1. According to Gravetter, Wallnau & Forzano (2018), Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply allowed to reread the material. In a similar study, a group of students from a large psychology class were given questions to be answered while studying for the final exam. The overall average from the exam was μ = 73.4 but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation of s = 8.4. Use a two-tailed test with α = .01 to determine whether answering questions while studying produced significantly higher exam scores. (15 marks) 2. A researcher wants to determine if there is a relationship between the number of hours spent by students on social media sites and self-esteem levels. A random sample of 10 statistics students was part of the study. Use manual calculations at α = 0.05 to calculate whether there is a significant relationship between the two variables. Show all your calculations. (15 marks) 3. The following depression scores are for a sample of ten people who were tested before and after receiving cognitive behavioural therapy. Use Excel and perform the relevant hypothesis test using α = 0.05, following all four key decision-making steps. (15 marks) Number of hours spent on social media sites (/10) – X Scores Self-esteem levels (/10) – Y Scores 5 4 7 4 2 7 3 8 4 2 5 4 4 5 1 7 8 3 5 2 Before (/10) After (/10) 5 5 6 3 7 5 The South African College of Applied Psychology (Pty) Ltd Statistics for the Social Sciences Assessment 2 4. Below is a data set for a chi-square test for goodness of fit. Answer the questions that follow. (15 marks) A B C D 20 10 15 5 a) Assign your own variable names to A, B, C and D (4 marks) b) Manually calculate the chi-square test for goodness of fit. Use α = 0.05. (11 marks) Assessment Total: 100 Marks 5 3 8 5 9 7 7 5 5 4 10 9 4 4