Observed and expected values

A research firm reported that 15% of those surveyed described their health as poor, 26% as good, 40% as very good, and 19% as excellent. A health professional in Chicago wanted to determine if people in Chicago had similar feelings toward their health. In a sample of 610 people, 70 described their health as poor, 180 as good, 220 as very good, and 140 as excellent. Plot observed and expected values and calculate the test value.

The solution provides step-by-step method for the calculation of chi square test statistic. Formula for the calculation is also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.