A market research firm gathered a random sample of 150 customers. The firm rando

Question

A market research firm gathered a random sample of 150 customers. The firm randomly assigned 50 of these to rate the current product and assigned 50 each to rate new versions of the product. The firm then formed a contingency table of Version (old, new A, new B) versus Rating (like, dislike, ambivalent). Are these data suitable for using the chi-squared test of independence? Select all that apply. ? A. No, these data are not suitable, because there is strong evidence of possible lurking variables, such as age. B. Yes, these data are suitable, assuming that the observed count in each cell is at least 10. ? C. No, these data are not suitable, as the corresponding table is not a contingency table because the cells are not mutually exclusive. L D. No, these data are not suitable, as the corresponding table is not a contingency table because the cells are mutually exclusive E. F. No, these data are not suitable, because the sample is not a simple random sample. Yes, these data are suitable, assuming that the expected count in each cell is at least 10.

Explanation / Answer

These data is not suitable because there is a high chance that

lurking variables may be present. Also, the cells are not

mutually exclusive. Hence, Option (A) and (C) are the correct

choices. (Ans).

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