Question

I need help testing that data has a binomial distribution? I am not quite sure how to do this. Question as below:
A hundred students take a test on which there are 5 questions, each to be answered simply yes or no. The number of students getting 0 -> 5 questions right are as follows:
no of correct answers - 0 1 2 3 4 5
frequency - 2 11 20 45 21 1

Test the hypothesis that the no of correct answers has a binomial distribution?

Answer 1

You need to use a chi-square "goodness of fit" test, which you should look up.
It is used for count data and compares the square of the difference between the expected count and the observed count, that squared difference divided by the expected count.

Get expected values by assuming the binomial distribution.

Answer 2

Hi, Thanks for the reply. I am familiar withe the chi-square test, however it's the calculating of the expected values that I'm struggling with.?

Answer 3

Assume that the binomial distribution hold in order to calculate what is expected. Get p from the number of correct answers divided by the number of questions 500.

Answer 4

Thanks for medal. Glad to have helped.

Answer 5

Thanks so much for your help! (I'm writing my thesis at the moment) but this is off an assignment I need to complete and didn't fully understand the question initially so thank you, I'll come back to the question tomorrow!