Question

A survey investigates the preference for shopping online versus shopping in physical stores for two different age groups: 18-30 and 31-50. In the 18-30 age group, out of 600 respondents, 420 prefer online shopping. In the 31-50 age group, out of 800 respondents, 540 prefer online shopping. Calculate a 98% confidence interval for the difference in proportions of people preferring online shopping between the two age groups.

Name: a survey investigates the preference for shopping online versus shopping in physical stores for two different age groups 18 30 and 31 50 in the 18 30 age group out of 600 respondents 420 prefer online
Uploaded: 2023-08-17T20:08:52-08:00
Duration: 2 min 27 s
Channel: Ivan Kochetkov
Description: a survey investigates the preference for shopping online versus shopping in physical stores for two different age groups 18 30 and 31 50 in the 18 30 age group out of 600 respondents 420 prefer online

          A survey investigates the preference for shopping online versus shopping in physical stores for two different age groups: 18-30 and 31-50. In the 18-30 age group, out of 600 respondents, 420 prefer online shopping. In the 31-50 age group, out of 800 respondents, 540 prefer online shopping. Calculate a 98% confidence interval for the difference in proportions of people preferring online shopping between the two age groups.

Added by John D.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Ivan Kochetkov

08/17/2023

Step 1

For the 18-30 age group, the proportion (p1) is 420/600 = 0.7. For the 31-50 age group, the proportion (p2) is 540/800 = 0.675. The difference in proportions (p1 - p2) is 0.7 - 0.675 = 0.025. Show more…

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A survey investigates the preference for shopping online versus shopping in physical stores for two different age groups: 18-30 and 31-50. In the 18-30 age group, out of 600 respondents, 420 prefer online shopping. In the 31-50 age group, out of 800 respondents, 540 prefer online shopping. Calculate a 98% confidence interval for the difference in proportions of people preferring online shopping between the two age groups.