Question

If the decision rule for a hypothesis test was: Reject H₀ if t < -t_α,n-1 which of the following statements is not true?

a.	All of these are true
	b.	The null hypothesis is rejected if the calculated test statistic is less than -tα,n-1
	c.	This is a one tail test
	d.	This is a two tail test.

Answer 1

For two tailed test - If , then reject Ho , accept otherwise

For right(one) tailed test - If , then reject Ho , accept otherwise

For left (one)  tailed test - If , then reject Ho , accept otherwise

Here , the test is left tailed test.

b. If , then reject Ho , accept otherwise

Therefore , the given statement is true.

c. Since , the given test is one (Left) tailed test.

Therefore , the given statement is true.

d. This is not two tailed test.

Therefore , the given statement is not true.

Hence , the option d) statement is not true.

Answer : d)