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A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of 120 college students is selected and

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A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of 120 college students is selected and each student is given all three phones to use for one week. At the end of the week, the students must identify which of the three designs they prefer. The distribution of preferences is as follows: Design 1 Design 2 Design 3 54 38 28 Do the data indicate any significant preferences among the three designs? Test at the 05 level of significance. Report your results in the blanks below. X2 critical value = (include 2 decimal places, #.##) test statistic is X2 = (round to 2 decimal places, #.##) Are there significant preferences among the designs? (enter Yes or No) Compute Cohen's w to measure the size of the effect. w = (round to 2 decimal places, #.# #)

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