Express the confidence interval 0.333 less than p less than 0.999 in the form Modifying Above p with caret + or - E. Modifying Above p with caret + or - E = + or -.

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15-07-2020
Mathematics

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Express the confidence interval 0.333 less than p less than 0.999 in the form Modifying Above p with caret + or - E. Modifying Above p with caret + or - E = + or -.

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Аноним Аноним · Answer 1 · 2020-07-15T23:18:46+02:00

We are being asked to express the confidence interval " [tex]0.333 < p < 0.999[/tex] " in the form [tex]P + / - E[/tex]. Well, just take a look at procedure below for the first half of the problem,

[tex]P = ( 0.999 + 0.333 ) / 2,\\E = ( 0.999 - 0.333 ) / 2[/tex]

As you can see, for this first bit we took the average of the numbers, for the second we subtracted one from the other, and now let us approximate each value -

[tex]P = ( About ) 0.666,\\E = ( About ) 0.333[/tex]

And so, [tex]P + / - E[/tex] should be [tex]0.666 + / - 0.333[/tex]. That is our solution!