random sample of 250 SCC students yields 79 full-timers and 171 part-timers.  (a)Construct a 90% confidence interval for the overall proportion of full-time  students at SCC. (b)The margin of error associated with the above c.i. is_____ (c)How large a sample should be selected if we want the margin of error to  be 2 percentage points?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A random sample of 250 SCC students yields 79 full-timers and 171 part-timers. 
(a)Construct a 90% confidence interval for the overall proportion of full-time 
students at SCC.
(b)The margin of error associated with the above c.i. is_____
(c)How large a sample should be selected if we want the margin of error to 
be 2 percentage points?

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