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 0.03 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=10681068 ​(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=10251025 ​(Round up to the nearest​ integer.) c. Does the added knowledge in part​ (b) have much of an effect on the sample​ size?     A. ​Yes, using the additional survey information from part​ (b) only slightly increases the sample size.   B. ​No, using the additional survey information from part​ (b) does not change the sample size.   C. ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.   D. ​No, using the additional survey information from part​ (b) only slightly reduces the sample size.

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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
0.03
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=10681068
​(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=10251025
​(Round up to the nearest​ integer.)
c. Does the added knowledge in part​ (b) have much of an effect on the sample​ size?
 
 
A.
​Yes, using the additional survey information from part​ (b) only slightly increases the sample size.
 
B.
​No, using the additional survey information from part​ (b) does not change the sample size.
 
C.
​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.
 
D.
​No, using the additional survey information from part​ (b) only slightly reduces the sample size.
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