2 2025 – DUE 22 September 2025; 100% correct solutions
and explanations.
QUESTION 1
1.1 A Type II error is made by rejecting the null hypothesis when it is in fact true.
Answer: False
Correction: A Type II error occurs when we fail to reject a false null
hypothesis. Rejecting a true null hypothesis is a Type I error.
1.2 ANOVA allows testing for differences across more than two group means and can
evaluate the impact of multiple independent variables.
Answer: True
Explanation: ANOVA (Analysis of Variance) can compare more than two
means, and in factorial ANOVA, it can test the effects of multiple independent
variables as well as their interactions.
1.3 The acronym ANOVA stands for analysis of variables.
Answer: False
Correction: ANOVA stands for Analysis of Variance, not variables.
1.4 A Type I error happens when the null hypothesis is not rejected despite it being
false.
Answer: False
Correction: A Type I error occurs when we reject a true null hypothesis.
Failing to reject a false null hypothesis is a Type II error.
1.5 The Chi-Square test is typically used to assess the association between two
categorical variables.