A food technology student, wishes to investigate whether teenagers prefer a blue-colored soda. She randomly selected 50 undergraduate students from her university and obtained their consent to participate in a food tasting experiment. For her experiment, she prepared two glasses of soda for each student: a clear-colored soda and the same soda flavor mixed with a blue food coloring. The addition of food coloring is not expected to alter the actual taste of the soda since food coloring is tasteless. The sampled students will first taste the clear-colored soda and then the blue-colored soda after an hour. After each taste test, the students will be asked whether they like the taste of the soda they drank. Consider di = Xblue – Xclear where Xblue is the number of students who prefer both the clear-colored and blue-colored sodas Xclear is the number of students who prefer the clear-colored soda but not the blue-colored soda. What are the null and alternative hypothesis?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A food technology student, wishes to investigate whether teenagers prefer a blue-colored soda. She randomly selected 50 undergraduate students from her university and obtained their consent to participate in a food tasting experiment. For her experiment, she prepared two glasses of soda for each student: a clear-colored soda and the same soda flavor mixed with a blue food coloring. The addition of food coloring is not expected to alter the actual taste of the soda since food coloring is tasteless. The sampled students will first taste the clear-colored soda and then the blue-colored soda after an hour. After each taste test, the students will be asked whether they like the taste of the soda they drank.

Consider di = Xblue – Xclear where Xblue is the number of students who prefer both the clear-colored and blue-colored sodas Xclear is the number of students who prefer the clear-colored soda but not the blue-colored soda.

What are the null and alternative hypothesis?

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