In: Statistics and Probability
You have two suppliers for electrical components. The first supplier has sent you 57 parts, of which 5 have failed. The second supplier has sent you 64 parts, of which 8 have failed. Test the proportion of failures to see if the suppliers are equal in failure rate. Don’t use a significance level, instead report a p-value and give an interpretation of that result.
Let denotes the proportion of failed parts from first supplier and second supplier respectively.
Since P-value = 0.5040 which is a quite significantly high value in terms of probability, so we can conclude the the failure rates are not significantly different for two suppliers.