Question:

If you want to examine the difference between the work values of employees in public and private sectors and the relationship of work values with employee engagement, what would be the appropriate statistics to test the hypotheses?

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Use the F-test or t-test to compare means between groups, and use Pearson correlation for examining relationships between continuous variables.
Updated On: Nov 21, 2025
  • F-test
  • t-test
  • Pearson Product moment correlation
  • Chi-square
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The Correct Option is A, B, C

Solution and Explanation


Step 1: Understanding the question and hypotheses.
The question involves two types of analysis: one examining the difference between work values in the public and private sectors, and the other examining the relationship between work values and employee engagement.
Step 2: Analyzing the statistical options.
- (A) F-test: The F-test is used to compare the variances between multiple groups. It can be useful for comparing work values across different sectors, especially when there are multiple groups or categories.
- (B) t-test: The t-test can be used to compare the means between two groups (such as public vs. private sector) and is appropriate for testing the difference in work values between these groups.
- (C) Pearson Product moment correlation: This test is used to measure the strength and direction of the linear relationship between two continuous variables, such as work values and employee engagement.
- (D) Chi-square: The chi-square test is used for categorical data, and it would not be appropriate for testing continuous data like work values or employee engagement.
Step 3: Conclusion.
Thus, the appropriate statistical tests to examine the differences in work values between sectors and the relationship with employee engagement are (A) F-test, (B) t-test, and (C) Pearson Product moment correlation.
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