A random sample of 80 University of Missouri sophomores showed that 36 were planning to live off-campus next semester. Suppose that we are interested in forming a 99.7 percent confidence interval for the proportion of all Mizzou sophomores who are planning to live off-campus next semester. Note that 3680=0.453680=0.45 and (0.45)(1−0.45)80‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=0.0556214886532175(0.45)(1−0.45)80=0.0556214886532175   NOTE: Where appropriate, express your answer as a proportion (not a percentage). Do not round during intermediate steps. If you round an answer, make sure you do so correctly and keep at least three decimal places. (a) The estimate is:  . (b) The standard error is:  (c) The multiplier is:

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 80 University of Missouri sophomores showed that 36 were planning to live off-campus next semester. Suppose that we are interested in forming a 99.7 percent confidence interval for the proportion of all Mizzou sophomores who are planning to live off-campus next semester.

Note that

3680=0.453680=0.45

and

(0.45)(1−0.45)80‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=0.0556214886532175(0.45)(1−0.45)80=0.0556214886532175

 

NOTE: Where appropriate, express your answer as a proportion (not a percentage). Do not round during intermediate steps. If you round an answer, make sure you do so correctly and keep at least three decimal places.

(a) The estimate is:  .

(b) The standard error is: 

(c) The multiplier is: 

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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,