Question

statistics question can someone check to see if this is correct i will post the question

Answer 1

Express the confidence interval (0.042,0.134) in the form of p^-E<p^+E

phat= (0.042+0.134)/2
phat=(0.176)2
phat=0.088

E=0.134-0,088
E=0.046

0.088<p<0.046

Answer 2

is this right i am not sure

Answer 3

@jim_thompson5910 is pretty good at this stuff I believe

Answer 4

Is it supposed to be something of the form \( xy \pm z\) because \(0.088 \pm 0.046\) would indeed give that confidence interval (0.042, 0.134)

Answer 5

(I'm just not sure I understand the notation given )

Answer 6

The steps

phat= (0.042+0.134)/2
phat=(0.176)/2
phat=0.088

are correct

Answer 7

That's the point estimate

Answer 8

Now onto the margin of error

E=(0.134-0.042)/2
E=0.092/2
E=0.046

Answer 9

So

\[\Large \hat{p} - E < p < \hat{p} + E\]

turns into

\[\Large 0.088 - 0.046 < p < 0.088 + 0.046\]

Answer 10

so that is the answer i just needed to combine the numbers together on each side the way you did ?

Answer 11

well they want it in the form \[\Large \hat{p} - E < p < \hat{p} + E\]

so I think you just start with \[\Large \hat{p} - E < p < \hat{p} + E\] and plug in the values for p-hat and E