You recently offered samples of three products to every customer that entered your business. You then asked which product customers thought was the best. You recorded these preferences for Product A, Product B, and Product C into a dataset. Conduct a goodness of fit test to investigate this.
Product choice:
Product c
Product c
Product a
Product b
Product b
Product b
Product b
Product a
Product b
Product b
Product c
Product a
Product c
Product c
Product c
Product c
Product b
Product c
Product b
Product b
Product b
Product b
Product c
Product b
Product a
Product c
Product c
Product c
Product c
Product c
This chi-square had a p-value of ____________ and a chi-square value of ____________. The data __________ achieve significance. Product B had an expected value of ______________ and an observed value of _______________.
Options to fill in the blanks: 10, 12, 2, 0.06, 5.6,3, did, did not
applying chi square test :
| relative | observed | Expected | residual | Chi square | |
| category | frequency | Oi | Ei=total*p | R2i=(Oi-Ei)/√Ei | R2i=(Oi-Ei)2/Ei |
| product a | 0.333 | 4 | 10.00 | -1.90 | 3.600 |
| product b | 0.333 | 12 | 10.00 | 0.63 | 0.400 |
| product c | 0.333 | 14 | 10.00 | 1.26 | 1.600 |
| total | 1.000 | 30 | 30 | 5.600 |
This chi-square had a p-value of 0.06 and a chi-square value of 5.60 The data did achieve significance. Product B had an expected value of 10 and an observed value of 12
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