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alexandroperez13
18.11.2020 •
Mathematics
An SRS of 2,500 individuals was taken from a large city to estimate the percentage of city residents with a graduate degree. 555 people in the sample had a graduate degree. The percentage of individuals in the city with a graduate degree is estimated as 22.2%. The estimated standard error is closest to:a. 1%b. 10% c. 0.1%
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Ответ:
The option is b
Step-by-step explanation:
From the question we are told that
The sample size is n = 2500
The number with a graduate degree is k = 555
The sample proportion is![\^ p = 0.222](/tpl/images/0908/5799/c5118.png)
Generally the standard error is mathematically represented as
=>![SE = \sqrt{\frac{0.222 (1- 0.22 )}{2500 } }](/tpl/images/0908/5799/7fbcd.png)
=>![SE = 0.010](/tpl/images/0908/5799/47b70.png)
Converting to percentage
=>![SE =10\%](/tpl/images/0908/5799/99887.png)
Ответ:
V= 1/2 bxhxl