Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 11 - Section 11.3 - Assess Your Understanding - Explaining the Concepts - Page 565: 26

Answer

As the critical value is increased due to the use of Formula (2), the formula \[\text{Minimum}\left( {{n}_{1}}-1,{{n}_{2}}-1 \right)\] is used to calculate the critical value.

Work Step by Step

The degrees of freedom obtained by using Formula (2) is larger than the degrees of freedom calculated by using the formula\[\text{Minimum}\left( {{n}_{1}}-1,{{n}_{2}}-1 \right)\] As the value of degrees of freedom rises, the critical value will decrease. If the critical value for the test is decreased, then it is tough to discard the null hypothesis at a desired significance level.
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