Question

Match LIST-I with LIST-II 

Choose the correct answer from the options given below: 
 

• A. A-I, B-II, C-III, D-IV
• B. A-II, B-III, C-IV, D-I
• C. A-IV, B-II, C-I, D-III
• D. A-III, B-IV, C-I, D-II

Hint:

Associate parametric tests like the t-test with means, and non-parametric tests like Mann-Whitney with medians. Chi-square is very versatile but is famous for "goodness of fit" and comparing categorical data/proportions.

Answer 1

The Correct Option is D

Step 1: Concept Overview:
This question involves associating statistical concepts with the appropriate statistical test or calculation used for their analysis.
Step 2: Detailed Explanation:
- A. Mean: The t-test, a parametric test, is used to compare the means of two groups to see if a significant difference exists. Therefore, A corresponds to III.
- C. Median: The Mann-Whitney U test, a non-parametric test, compares the medians of two independent groups, especially when t-test assumptions are not met. Thus, C corresponds to I.
- D. Goodness of fit: The Chi-square ($\chi^2$) test assesses if there's a significant difference between expected and observed frequencies across categories; this is a "goodness of fit" assessment. Hence, D corresponds to II.
- B. Proportion: Relative risk measures the risk of an event in one group versus another, calculated using proportions or incidences. So, B corresponds to IV.
Step 3: Solution:
The correct matches are A-III, B-IV, C-I, D-II, aligning with option (D).