when we retain the null hypothesis we a claim that a signifi

when we retain the null hypothesis, we: a) claim that a significant difference exits between groups b)have obtained a t-value greater than our critical t- value. c) have committed a Type 1 error. d) conclude that sampling error is responsible for our obtained difference.

Solution

When we retain the null hypothesis, it means result is not statistical significant. So option A is not correct.

If test is left tailed then if the t-value is greater than critical value we retain the null hypothesis. So option B is true if test is left tailed.

And if test is two tailed then t-value must be between the critical values (greater than negative critical value and less than positive critical value) to retain the null hypothesis. For right tailed, t-value must be less than critical value to retain the null hypothesis.

Type 1 is the probability of rejecting true null hypothesis. And last option (c) and (d) are not true.