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egoroff_w [7]
3 years ago
15

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

amining the records for all the students, the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid. Calculate the standard error of your estimate. 3.7061
Mathematics
1 answer:
Roman55 [17]3 years ago
3 0

Answer:

 Standard error (S.E) =  0.048  ≅ 0.05

Step-by-step explanation:

<u>Explanation</u>:-

Given  sample size 'n'=76

Given the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid.

Sample proportion

                         p = \frac{x}{n} = \frac{58}{76} = 0.7631

The standard error is determined by

                     S.E = \sqrt{\frac{p(1-p)}{n} }

                     S.E = \sqrt{\frac{0.763(0.2369}{76} }

  Standard error is 0.048  ≅ 0.05

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