. Do “props” make a difference when researchers interact with their subjects? Juan asked 120 people if they though buying coffee at “Fisherbucks” is a waste of money. 70 subjects were asked while Juan held up a cup of “Fisherbucks” and the other 50 subjects were asked when Juan was empty handed. The choice of handling the cups were randomly determined for each subject (an non-equal distribution of treatments was chosen for this problem to have unequal cup sizes for practicing the calculations and equal amount of genders were in both treatments). When holding the cups, 10 subjects agreed that buying coffee at “Fisherbucks” is a waste of money. When not holding the cups, 22% percent of the subjects thought that buying coffee at “Fisherbucks” is a waste of money. a. Calculate and interpret a 90% confidence interval for the difference in proportions who would say buying coffee from “Fisherbucks” is a waste of money by interviewers holding and not holding a cup from “Fisherbucks.” b. Do we have convincing evidence at 10% significance level that there is a difference in proportions of people who would say buying coffee from “Fisherbucks” is a waste of money by interviewers holding and not holding a cup from “Fisherbucks.” c. Based on your conclusion in b, what generalization and what population can we apply the results to? (think of chapter 4 of random assignment and random selection) d. How do your answers to part a and b relate to each other? e. In part a, identify the following values of i. Standard error ii. Margin of error iii. Critical value
1. Do “props” make a difference when researchers interact with their subjects? Juan asked 120
people if they though buying coffee at “Fisherbucks” is a waste of money. 70 subjects were
asked while Juan held up a cup of “Fisherbucks” and the other 50 subjects were asked when
Juan was empty handed. The choice of handling the cups were randomly determined for each
subject (an non-equal distribution of treatments was chosen for this problem to have unequal
cup sizes for practicing the calculations and equal amount of genders were in both treatments).
When holding the cups, 10 subjects agreed that buying coffee at “Fisherbucks” is a waste of
money. When not holding the cups, 22% percent of the subjects thought that buying coffee at
“Fisherbucks” is a waste of money.
a. Calculate and interpret a 90% confidence interval for the difference in proportions who would
say buying coffee from “Fisherbucks” is a waste of money by interviewers holding and not
holding a cup from “Fisherbucks.”
b. Do we have convincing evidence at 10% significance level that there is a difference in
proportions of people who would say buying coffee from “Fisherbucks” is a waste of money by
interviewers holding and not holding a cup from “Fisherbucks.”
c. Based on your conclusion in b, what generalization and what population can we apply the
results to? (think of chapter 4 of random assignment and random selection)
d. How do your answers to part a and b relate to each other?
e. In part a, identify the following values of
i. Standard error
ii. Margin of error
iii. Critical value
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