A group of researchers would like to see whether people are more likely to adhere to the Mediterranean diet if they attend a weekly workshop on the Mediterranean diet than if they are given a Mediterranean diet cookbook. To recruit study participants, they host a website offering a free diet intervention to anyone who signs up. From the online signup list, they randomly select 40 people to take the course and 40 to receive the cookbook. Of the 40 people who took the course, 3 months later, 55% report still adhering to the Mediterranean diet. Of the 40 who received the cookbook, 3 months later, 45% report adhering to the diet.  What is the parameter of interest in this study? Let pˆwkshp be the proportion of individuals adhering to the diet 3 months later among individuals who have completed the workshop and let pcook be the proportion of individuals adhering to the diet 3 months later among those who received the cookbook. Calculate a 90% confidence interval for pwkshp − pcook. Now calculate a 90% confidence interval for pcook −pwkshp. What stays the same and what changes from what you obtained in part (b)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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A group of researchers would like to see whether people are more likely to adhere to the Mediterranean diet if they attend a weekly workshop on the Mediterranean diet than if they are given a Mediterranean diet cookbook. To recruit study participants, they host a website offering a free diet intervention to anyone who signs up.

From the online signup list, they randomly select 40 people to take the course and 40 to receive the cookbook.

Of the 40 people who took the course, 3 months later, 55% report still adhering to the Mediterranean diet.

Of the 40 who received the cookbook, 3 months later, 45% report adhering to the diet.

  1.  What is the parameter of interest in this study?

  2. Let pˆwkshp be the proportion of individuals adhering to the diet 3 months later among individuals who have completed the workshop and let pcook be the proportion of individuals adhering to the diet 3 months later among those who received the cookbook. Calculate a 90% confidence interval for pwkshp − pcook.

  3. Now calculate a 90% confidence interval for pcook −pwkshp. What stays the same and what changes from what you obtained in part (b)?

     
     
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