Question

In a survey taken among college students, 300 of 500 students belonging to past semesters favored certain proposition, while 64 of 100 belonging to the first semesters were in favor of the proposition. Find a 99% confidence interval for estimating the true difference between the proportions of seniors and first semesters who favor the proposition. If the estimation error found in part a is to be halved. What should the sample size be? Use a 95% confidence level.

Name: in a survey taken among college students 300 of 500 students belonging to past semesters favored certain proposition while 64 of 100 belonging to the first semesters were in favor of the pro 60986
Uploaded: 2023-06-08T23:42:15-08:00
Duration: 2 min 58 s
Channel: Clarissa Barr
Description: in a survey taken among college students 300 of 500 students belonging to past semesters favored certain proposition while 64 of 100 belonging to the first semesters were in favor of the pro 60986

          In a survey taken among college students, 300 of 500 students
belonging to past semesters favored certain proposition, while 64
of 100 belonging to the first semesters were in favor of the
proposition.
Find a 99% confidence interval for estimating the true difference
between the proportions of seniors and first semesters who favor
the proposition. If the estimation error found in part a is to be
halved. What should the sample size be? Use a 95% confidence
level.

Added by Vicente M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Clarissa Barr

06/08/2023

Step 1

The sample proportion of seniors who favor the proposition is: p1 = 300/500 = 0.6 The sample proportion of first semesters who favor the proposition is: p2 = 64/100 = 0.64 The difference between the sample proportions is: p1 - p2 = 0.6 - 0.64 = -0.04 Show more…

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In a survey taken among college students, 300 of 500 students belonging to past semesters favored certain proposition, while 64 of 100 belonging to the first semesters were in favor of the proposition. Find a 99% confidence interval for estimating the true difference between the proportions of seniors and first semesters who favor the proposition. If the estimation error found in part a is to be halved. What should the sample size be? Use a 95% confidence level.