The following figures show the distribution of digits in numbers chosen at random from a telephone directory
Test the hypothesis that the digits are uniformly distributed at 5% level of significance.
I have googled and have lots of documentation but dont know how to solve this question . I am studying for my exam and need to find some document that is close to the above question so that i could understand the chi square test and the hypothesis a little better.....
First I make the expected frequencies (this is the sum of the observed frequencies divided by the number of bins which here is ). There were bins corresponding to digits through not )
Second the formula for calculating the value of is:
The value I get for this is with . This exceeds both the and critical values for the squared distribution with this number of degrees of freedom and so the observed frequencies differ significantly (at which of these levels you choose to report the results)