There are two boxes, each with several million tickets marked “1” or “0”. The two boxes have the same number of tickets, but in one of the boxes, 49% of the tickets are marked “1” and in the other box 50.5% of the tickets are marked “1”. Someone hands me one of the boxes but doesn¢t tell me which box it is.

Consider the following hypotheses:

Null: p = 0.49 Alternative: p = 0.505

Here is my proposed test: I will draw a simple random sample of 10,000 tickets, and if 5,000 or more of them are marked “1” then I will choose the alternative; otherwise I will stay with the null.

1) What is the significance level of my test?

2) What is the power of my test?

0.05

Thank you catriona.

0.05 is tha power right?

So the significance level is 0.95?

0.05 means 5%. And this is not the answer

SN = 2,33%

Power = 49,20%

I think it will be...
Then confirm if these were the correct answers

The SN = 2.33% is ok

the power is wrong

84.13 - power

Alex how do you calculate the power?