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.

Question

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?

Answer 1

0.05

Answer 2

Thank you catriona.

0.05 is tha power right?

So the significance level is 0.95?

Answer 3

0.05 means 5%. And this is not the answer

Answer 4

SN = 2,33%
Power = 49,20%

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

Answer 5

The SN = 2.33% is ok
the power is wrong

Answer 6

84.13 - power

Answer 7

Alex how do you calculate the power?