One-hundred customers were randomly selected for an experiment measuring the effect of music on the amount of money people spend in a supermarket. One half of the customers shopped on days when no background music was played. The other half shopped on days accompanied by music and advertisements. Each customer was assigned to one of three groups—high, moderate, or low—based on how much he or she spent.

(a) Your hard drive crashes and you lose all your data. Fortunately, you manage to reconstruct the survey results for 100 observations from your notes. The relative frequency is f(x = 2|y = 3) = 0.5 and the absolute frequency is h(y = 1) = 35.

Based on this information, fill in the missing cells below.

(b) After reconstructing the data, you decide to increase your sample size by surveying 300 additional customers. This leaves you with the following contingency table. Fill in the marginal frequencies and the expected counts under statistical independence. In the parentheses, provide the expected counts given the actual number of observations.

(c) Determine the chi-square value.

(d) Calculate Cramer’s V.

Transcribed Image Text:

With music (x = 1) W/o music (x = 2) Sum (Y) High amount spent (y = 1) 30 Moderate amount spent (y = 2) 20 Low amount spent (y = 3) 40 Sum (X)