A public health agency seeks to increase weekly purchases of plant-based foods by participants in its education program by at least $1.00. Heretofore, the agency has made use of a traditional in-classroom program where attendees first complete a survey in which they state how much they currently spend weekly on plant-based foods. Then, participants are presented pamphlets, documents, and spoken lectures from instructors, all designed to inform participants regarding the benefits of consuming plant-based foods. Agency planners now wish to test a new approach: Along with completing the survey, participants will watch fictional dramatic films highlighting the associated health and social benefits of greater consumption of plant-based foods. The planners consider it possible that the emotional content conveyed by the stories and characters in the films will deliver a stronger response and commitment on the part of participants to purchase more plant-based foods. It is known that participants in the standard program heretofore have spent on average $10.50 per week, with a standard deviation of $2.85, on plant-based foods. Agency planners will randomize new participants into either the standard program or the new, films-based program. How many enrollees total will the agency need to detect an effect size of $1.00, if the desired power level is 80 percent, at the 5 percent level of significance? O a) 59 O b) 150 O c) 128 O d) 25 e) None of the above answers is correct.
A public health agency seeks to increase weekly purchases of plant-based foods by participants in its education program by at least $1.00. Heretofore, the agency has made use of a traditional in-classroom program where attendees first complete a survey in which they state how much they currently spend weekly on plant-based foods. Then, participants are presented pamphlets, documents, and spoken lectures from instructors, all designed to inform participants regarding the benefits of consuming plant-based foods. Agency planners now wish to test a new approach: Along with completing the survey, participants will watch fictional dramatic films highlighting the associated health and social benefits of greater consumption of plant-based foods. The planners consider it possible that the emotional content conveyed by the stories and characters in the films will deliver a stronger response and commitment on the part of participants to purchase more plant-based foods. It is known that participants in the standard program heretofore have spent on average $10.50 per week, with a standard deviation of $2.85, on plant-based foods. Agency planners will randomize new participants into either the standard program or the new, films-based program. How many enrollees total will the agency need to detect an effect size of $1.00, if the desired power level is 80 percent, at the 5 percent level of significance? O a) 59 O b) 150 O c) 128 O d) 25 e) None of the above answers is correct.
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Transcribed Image Text:A public health agency seeks to increase weekly purchases of plant-based foods by participants in its
education program by at least $1.00.
Heretofore, the agency has made use of a traditional in-classroom program where attendees first
complete a survey in which they state how much they currently spend weekly on plant-based foods.
Then, participants are presented pamphlets, documents, and spoken lectures from instructors, all
designed to inform participants regarding the benefits of consuming plant-based foods.
Agency planners now wish to test a new approach: Along with completing the survey, participants
will watch fictional dramatic films highlighting the associated health and social benefits of greater
consumption of plant-based foods. The planners consider it possible that the emotional content
conveyed by the stories and characters in the films will deliver a stronger response and commitment
on the part of participants to purchase more plant-based foods.
It is known that participants in the standard program heretofore have spent on average $10.50 per
week, with a standard deviation of $2.85, on plant-based foods. Agency planners will randomize new
participants into either the standard program or the new, films-based program.
How many enrollees total will the agency need to detect an effect size of $1.00, if the desired power
level is 80 percent, at the 5 percent level of significance?
О a) 59
O b) 150
c) 128
O d) 25
O e) None of the above answers is correct.
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