Question

A researcher developing scanners to search for hidden weapons at airports has failed to conclude that a new scanner is significantly better than the current scanner. He made his decision based on a test using α=0.025.

a. Would he have made the same decision at α=0.20?
b. How about α=0.005? Explain.

Answer 1

a. not sure

b. yes

Explanation:

According to the given scenario, the following information is mentioned

`\alpha` =0.025

In the case when the alpha is equivalent to 0.025 so the p test value would be more than the significance level i.e. 0.025 as the prescribed test is not important

So here

p>0.025

In the above case i.e. p>0.025 this does not mean that p>0.2 so we are not sure about this case whether he made teh same decision or not

Now in the another case, if the significant level is 0.005 so we are sure that p>0.005 as it is more than 0.025 so here also the test is not significant

So, here the same decision could be made