AS/A2 Stats 1 Stats 2

S3 Topic 4: Goodness of fit and contingency tables
Fitting a Binomial distribution 2
In this version you will choose as part of your hypothesis the value of p. Enter some figures (each should be greater than 5 but definitely bigger than 1) for Observed data in the top row of this table. Choose your value of p. An estimate of the mean of an assumed Binomial distribution B(8,p) is then found from this data, together with the Expected data and the calculation of S[O-E]²/E. H0: B(8,p) is a suitable model for the observed data H1: B(8,p) is not a suitable model for the observed data If S[O-E]²/E is greater than 15.507 then you can be 95% certain that your Observed data is not, in fact, from the Binomial distribution B(8,p).

x	0	1	2	3	4	5	6	7	8
Observed data
p =
mean =
Expected data
[O-E]²/E =
S[O-E]²/E =

Summary If you have a graphic calculator, follow this link to find out more about using it to do a Goodness of fit test: graphic calculator © MathsNet 2003