12. Does Weight Watchers work? Researchers randomly divided 500 people into two equal-sized groups. One group spent 6 months on the Weight Watchers program. The other group received a pamphlet about controlling portion sizes. At the end of the study 35% of the subjects in the pamphlet group and 55% of the subjects in the Weight Watchers group had lost at least 10 pounds. To test whether Weight Watchers is more effective for weight loss than pamphlets, a statistician used an index card to represent each subject in the study and wrote whether or not the subject lost at least 10 pounds on the index card. He then shuffled these cards together, and dealt them into two equal-sized groups. Which of the following best describes the expected result? The difference between the proportions of cards indicating whether or not the subject lost at least 10 pounds will be about 0. If Weight Watchers was effective, the difference between the proportions of cards indicating whether or not the subject lost at least 10 pounds will be more than 20%. The difference between the proportions of cards indicating whether or not the subject lost at least 10 pounds will be about 20%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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12. Does Weight Watchers work? Researchers randomly divided 500 people into two equal-sized groups. One group spent 6
months on the Weight Watchers program. The other group received a pamphlet about controlling portion sizes. At the
end of the study 35% of the subjects in the pamphlet group and 55% of the subjects in the Weight Watchers group had
lost at least 10 pounds. To test whether Weight Watchers is more effective for weight loss than pamphlets, a statistician
used an index card to represent each subject in the study and wrote whether or not the subject lost at least 10 pounds on
the index card. He then shuffled these cards together, and dealt them into two equal-sized groups. Which of the following
best describes the expected result?
The difference between the proportions of cards indicating whether or not the subject lost at least 10 pounds wil|
be about 0.
If Weight Watchers was effective, the difference between the proportions of cards indicating whether or not the
subject lost at least 10 pounds will be more than 20%.
The difference between the proportions of cards indicating whether or not the subject lost at least 10 pounds will
be about 20%.
Transcribed Image Text:12. Does Weight Watchers work? Researchers randomly divided 500 people into two equal-sized groups. One group spent 6 months on the Weight Watchers program. The other group received a pamphlet about controlling portion sizes. At the end of the study 35% of the subjects in the pamphlet group and 55% of the subjects in the Weight Watchers group had lost at least 10 pounds. To test whether Weight Watchers is more effective for weight loss than pamphlets, a statistician used an index card to represent each subject in the study and wrote whether or not the subject lost at least 10 pounds on the index card. He then shuffled these cards together, and dealt them into two equal-sized groups. Which of the following best describes the expected result? The difference between the proportions of cards indicating whether or not the subject lost at least 10 pounds wil| be about 0. If Weight Watchers was effective, the difference between the proportions of cards indicating whether or not the subject lost at least 10 pounds will be more than 20%. The difference between the proportions of cards indicating whether or not the subject lost at least 10 pounds will be about 20%.
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