GilaW767246 GilaW767246
  • 03-11-2022
  • Mathematics
contestada

Express the confidence interval 0.555 < p < 0.999 in the form p+E

Express the confidence interval 0555 lt p lt 0999 in the form pE class=

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JeovannyQ197685 JeovannyQ197685
  • 03-11-2022

In order to express the confidence interval in the form p ± E, first we have to determine the midpoint of the interval, like this:

[tex]\hat{p}=\frac{0.555+0.999}{2}=0.777[/tex]

The value of the error, E, can be calculated by taking the difference between p and the end of the interval, like this:

[tex]E=0.999-0.777=0.222[/tex]

Then, we can express 0.555 < p < 0.999 in p + E notation as 0.777 ± 0.222

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