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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
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
Transcribed Image Text: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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