Question

1. A researcher fails to find a significant difference in mean blood pressure in 36 matched pairs. The test was carried out with a power of 85%.  Assuming that this study was well designed and carried out properly, do you believe that there really is no significant difference in blood pressure?  Explain your answer.

Answer 1

Answer:

We have directed a theory testing on an example of size 36. We found that there was no importance.

Unmistakably , this was a trial of criticalness for sort I blunder. (checking of the Ho).

Anyway there is another approach to check the equivalent .

This is done through trial of criticalness of exchange theory accepting invalid speculation isn't right.

This is called as test for sort II mistake..

Note that we are given with the intensity of the test.

i.e.,

The intensity of a paired theory test is the likelihood that the test rejects the invalid speculation (H0) when a particular elective speculation (H1) is valid.

Numerically we can depict it is given as follows

control = P(Reject Ho | H1 is valid)

In light of the meaning of intensity and its esteem we would now be able to state that

There is a 85 % likelihood of dismissing the invalid theory given that the other speculation which is inverse supposition of invalid theory is valid.

On the other hand we can say that there is 15 % shot that the we ought to acknowledge the invalid speculation given that the substitute theory is valid.

This is a critical esteem (>5% or 0.005)

Henceforth regardless of whether the sort ! blunder testing gives a consequence of no essentialness, the power test (type II mistake ) implies something else.

Commentary :

Most scientists survey the intensity of their tests utilizing π (intensity of the test) = 0.80 as a standard for sufficiency.

This show infers a four-to-one exchange off between β-chance and α-hazard. (β is the likelihood of a Type II mistake, and α is the likelihood of a Type I blunder; 0.2 and 0.05 are regular qualities for β and α).