|Feb20-12, 04:49 AM||#1|
Binomial distribution and lottery
Hi there, I'm looking at a problem and wanted some help to advise if I'm going in the right direction.
I need to test if the number of times a lotto ball has appeared in a draw fits a binomial distribution. I have collated the data and ultimately will do a hypothesis test.
The draw consists of 5 balls from 1-50. there have been 347 draws to date and therefore 1735 balls drawn. Taking ball number 1 which has been drawn 31 times as an example I need to check that if the number of times it has been drawn fits a binomial distribution.
I know the formula for the bin. dist but wondered what values for the probability and what number I would need to use. Once I know this would I then set up a hypothesis test at 5% siginificance level to see if the null hypothesis is rejected or accepted?
Thanks for your help in advance.
|Feb20-12, 06:17 PM||#2|
|Feb21-12, 11:41 AM||#3|
When you say two tailed would my X's (r.v) be the lowest value of a number appearing (in this case 25) and the highest (and 51). Add a continuity correction 24.5 and 51.5 respectively and calculate the z test and see if it is significant?
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