Question

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.

The significance level of my test is _____%.

The power of my test is _____%.

Answer 1

2.33
84.13

Answer 2

given that a sample of size was taken from population of 90 witha population standard deviation of 1.8,what ould be the margin of roe ata 95% level of confidence