, PLEASE USE THIS DOCUMENT AS A GUIDE TO ANSWER YOUR ASSIGNMENT
QUESTION 1
1. State whether the following statements are true or false. For those answered as false, provide
the correct explanation.
1.1. A Type II error is made by rejecting the null hypothesis when it is in fact true.
False. A Type II error occurs when we fail to reject the null hypothesis when it is actually false
(Tredoux, C. & Durrheim, K. 2019. p. 267).
1.2. ANOVA allows testing for differences across more than two group means and can evaluate
the impact of multiple independent variables.
True. ANOVA is used to test differences between means of more than two groups and can
handle designs with more than one independent variable (Tredoux, C. & Durrheim, K. 2019. p.
289).
1.3. The acronym ANOVA stands for analysis of variables.
False. ANOVA stands for Analysis of Variance (Tredoux, C. & Durrheim, K. 2019. p. 289).
1.4. A Type I error happens when the null hypothesis is not rejected despite it being false.
False. A Type I error occurs when the null hypothesis is rejected when it is true, not when it is
false (Tredoux, C. & Durrheim, K. 2019. p. 267).
1.5. The Chi-Square test is typically used to assess the association between two categorical
variables.
True. The Chi-Square test is used to assess associations between categorical variables (Tredoux,
C. & Durrheim, K. 2019. p. 472).
QUESTION 1
1. State whether the following statements are true or false. For those answered as false, provide
the correct explanation.
1.1. A Type II error is made by rejecting the null hypothesis when it is in fact true.
False. A Type II error occurs when we fail to reject the null hypothesis when it is actually false
(Tredoux, C. & Durrheim, K. 2019. p. 267).
1.2. ANOVA allows testing for differences across more than two group means and can evaluate
the impact of multiple independent variables.
True. ANOVA is used to test differences between means of more than two groups and can
handle designs with more than one independent variable (Tredoux, C. & Durrheim, K. 2019. p.
289).
1.3. The acronym ANOVA stands for analysis of variables.
False. ANOVA stands for Analysis of Variance (Tredoux, C. & Durrheim, K. 2019. p. 289).
1.4. A Type I error happens when the null hypothesis is not rejected despite it being false.
False. A Type I error occurs when the null hypothesis is rejected when it is true, not when it is
false (Tredoux, C. & Durrheim, K. 2019. p. 267).
1.5. The Chi-Square test is typically used to assess the association between two categorical
variables.
True. The Chi-Square test is used to assess associations between categorical variables (Tredoux,
C. & Durrheim, K. 2019. p. 472).
