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 Chi-Square Distribution Degrees of Freedom 16 345 67 8 9 1011 12 13 14 151617 1819 20 2122 23 24 25 26 27 28 29 30 Do the results indicate any significant preferences among the three designs? Test at the a = .05 level of significance. ande, (Use two decimal places.) x² critical value x² Conclusion: O Reject the null hypothesis; there are significant preferences among designs. Fail to reject the null hypothesis; there are significant preferences among designs. Reject the null hypothesis; there are no significant preferences among designs. Fail to reject the null hypothesis; there are no significant preferences among designs. %3D

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