In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time college students who earn a​ bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.04 margin of error and use a confidence level of 95%. Complete parts​ (a) through​ (c) below.   a. Assume that nothing is known about the percentage to be estimated. n=? ​(Round up to the nearest​ integer.)   b. Assume prior studies have shown that about 60​%  of​ full-time students earn​ bachelor's degrees in four years or less.   n=? ​(Round up to the nearest​ integer.)   c. Does the added knowledge in part​ (b) have much of an effect on the sample​ size?     A. ​No, using the additional survey information from part​ (b) does not change the sample size.   B. ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.   C. ​No, using the additional survey information from part​ (b) only slightly reduces the sample size.   D. ​Yes, using the additional survey information from part​ (b) only slightly increases the sample size.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time college students who earn a​ bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.04 margin of error and use a confidence level of 95%.
Complete parts​ (a) through​ (c) below.
 
a. Assume that nothing is known about the percentage to be estimated.
n=?
​(Round up to the nearest​ integer.)
 
b. Assume prior studies have shown that about 60​% 
of​ full-time students earn​ bachelor's degrees in four years or less.
 
n=?
​(Round up to the nearest​ integer.)
 
c. Does the added knowledge in part​ (b) have much of an effect on the sample​ size?
 
 
A.
​No, using the additional survey information from part​ (b) does not change the sample size.
 
B.
​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.
 
C.
​No, using the additional survey information from part​ (b) only slightly reduces the sample size.
 
D.
​Yes, using the additional survey information from part​ (b) only slightly increases the sample size.
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