Question

For conducting a​ two-tailed hypothesis test with a certain data​ set, using the smaller of n1minus−1 and n2minus−1 for the degrees of freedom results in dfequals=​11, and the corresponding critical values are tequals=plus or minus±2.201. Using the formula for the exact degrees of freedom results in dfequals=​19.063, and the corresponding critical values are tequals=plus or minus±2.093. How is using the critical values of tequals=plus or minus±2.201 more​ "conservative" than using the critical values of plus or minus±​2.093? Choose the correct answer below. A. Using the critical values of tequals=plus or minus±2.201 requires fewer calculations than using the critical values of plus or minus±2.093. B. Using the critical values of tequals=plus or minus±2.201 results in rounding the test statistic to more decimal places than using the critical values of plus or minus±2.093. C. Using the critical values of tequals=plus or minus±2.201 is more likely to lead to rejection of the null hypothesis than using the critical values of plus or minus±2.093. D. Using the critical values of tequals=plus or minus±2.201 is less likely to lead to rejection of the null hypothesis than using the critical values of plus or minus±2.093.

Answer 1

D. Using the critical values of t=±2.201 is less likely to lead to rejection of the null hypothesis than using the critical values of ±2.093.

Explanation:

solution is solved below,