Mathematics: Express the confidence interval 0.333 less than p less than 0.555 in the form modifying above p with caret plus or minus upper e. modifying above p with caret plus or minus upper e equals nothing plus or minus nothing

Express the confidence interval 0.333 less than

kevinkingpin

11.01.2022

= $0.444\pm 0.111$

Step-by-step explanation:

The confidence interval for population proportion(p) is given by :-

$\hat{p}-E$ (1)

It is also written as : $\hat{p}\pm E$ (*)

The given confidence interval for population proportion :

0.333 (2)

Comparing (1) and (2) , we get

Lower limit = $\hat{p}-E=0.333$ (3)

Upper limit = $\hat{p}+E=0.555$ (4)

Adding (3) and (4) , we get

$2\hat{p}=0.888\\\Rightarrow\ \hat{p}=\dfrac{0.888}{2}=0.444$

Put value of $\hat{p}=0.444$ in (2) , we get

$0.444+E=0.555\\\\\Rightarrow\ E=0.555-0.444=0.111$

Put values of $\hat{p}=0.444$ and E= 0.111 in (*) , we get

Required form = $0.444\pm 0.111$

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stmy1969

30.08.2021

x = -2

Step-by-step explanation:

slope of line l = 3

we want the line containing points J and K to have a slope of 3 also

-8-(-5) = 3

x-(-1) 1

cross-multiply to solve for 'x':

3(x+1) = -3

3x + 3 = -3

3x = -6

x = -2

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