For conducting a two-tailed hypothesis test with a certain data set, using the smaller of n1minus1 and n2minus1 for the degrees of freedom results in dfequals 11, and the corresponding critical values are tequalsplus or minus2.201. Using the formula for the exact degrees of freedom results in dfequals 19.063, and the corresponding critical values are tequalsplus or minus2.093. How is using the critical values of tequalsplus or minus2.201 more "conservative" than using the critical values of plus or minus 2.093?

Question

Karen Hanna

Mathematics

13 November, 23:56

For conducting a two-tailed hypothesis test with a certain data set, using the smaller of n1minus1 and n2minus1 for the degrees of freedom results in dfequals 11, and the corresponding critical values are tequalsplus or minus2.201. Using the formula for the exact degrees of freedom results in dfequals 19.063, and the corresponding critical values are tequalsplus or minus2.093. How is using the critical values of tequalsplus or minus2.201 more "conservative" than using the critical values of plus or minus 2.093?

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Owen Villanueva · Answer 1

Step-by-step explanation:

Using the critical values of t=±2.201 is more "conservative" than using the critical value of ±2.093 because it is more likely to reject the null hypothesis using the greater value i-e t=±2.201