A coffee shop wants to estimate the difference in the proportion of caffeinated-coffee customers who order a large drink as compared to decaf-coffee customers who order a large. In a random sample of 500 caffeinated- coffee customers, 37% ordered larges. In a random sample of 370 decaf-coffee customers, 27% ordered larges. Construct a 90% confidence interval to estimate the true difference in proportions Pc- Pp of caffeinated customers who order larges versus decaf customers who order larges. Are the conditions for inference met? v that the interval captures the true difference in proportions of caffeinated customers who |larges versus decaf customers.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A coffee shop wants to estimate the difference in the
proportion of caffeinated-coffee customers who order a
large drink as compared to decaf-coffee customers who
order a large. In a random sample of 500 caffeinated-
coffee customers, 37% ordered larges. In a random
sample of 370 decaf-coffee customers, 27% ordered
larges.
Construct a 90% confidence interval to estimate the
true difference in proportions pc- Pp of caffeinated
customers who order larges versus decaf customers
who order larges.
Are the conditions for inference met?
that the interval
v captures the true difference in
proportions of caffeinated customers who
larges versus decaf customers.
Transcribed Image Text:A coffee shop wants to estimate the difference in the proportion of caffeinated-coffee customers who order a large drink as compared to decaf-coffee customers who order a large. In a random sample of 500 caffeinated- coffee customers, 37% ordered larges. In a random sample of 370 decaf-coffee customers, 27% ordered larges. Construct a 90% confidence interval to estimate the true difference in proportions pc- Pp of caffeinated customers who order larges versus decaf customers who order larges. Are the conditions for inference met? that the interval v captures the true difference in proportions of caffeinated customers who larges versus decaf customers.
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