21. A multinational company wanted to statistically verify if there was a link between the age of its management graduates and their knowledge in Management and Human Resources Management. A battery of tests was administered to 400 employees with management degrees to test their theoretical and practical knowledge. The results were then tabulated in a contingency table; the test scores were ranked as follows Excellent 25 but under 35 Good 35 but less than 45 years old Fair 45 and over while the age of the graduates was classified according to the following modalities:

The chi-square calculation gives X2 = 38.25.

Can we affirm, at the 1% significance level, that the scores obtained according to the classification are independent of the age of the management graduates?

Since the calculated chi-square = 38.2558 > the critical chi-square = 21.666. We cannot cannot be rejected. We can affirm, at the 1% significance level, that the scores obtained according to the indicated classification are independent of the age of the graduates in management?

Since the calculated chi-square = 38.2558 > the critical chi-square = 13.277. We cannot cannot be rejected. We can affirm, at the 1% significance level, that the scores obtained according to the indicated classification are independent of the age of the graduates in management?

Since the calculated chi-square = 38.2558 > the critical chi-square = 21.666. We can reject Ho. We can affirm, at the 1% significance level, that the scores obtained according to the indicated classification are dependent on the age of the management graduates

Since the calculated chi-square = 38.2558 > the critical chi-square = 11.143. We cannot Ho cannot be rejected. We can affirm, at the 1% significance level, that the scores obtained according to the indicated classification are independent of the age of the graduates in management?

Since the calculated chi-square = 38.2558 > the critical chi-square = 11.143. We can reject Ho. It can be stated, at the 1% significance level, that the scores obtained according to the indicated classification are dependent on the age of the graduates in management?

Since the calculated chi-square = 38.2558 > the critical chi-square = 13.277. We can reject Ho. It can be stated, at the 1% significance level, that the scores obtained according to the indicated classification are dependent on the age of the graduates in management?