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estion list
Express the oonfidence interval 
0.666 < p < 0.888 in the form 
hat(p)+-E.
Question 37

hat(p)+-E=◻+-◻
Question 32

estion list\newlineExpress the oonfidence interval 0.666<p<0.888 0.666<p<0.888 in the form p^±E \hat{p} \pm E .\newlineQuestion 3737\newlinep^±E=± \hat{p} \pm E=\square \pm \square \newlineQuestion 3232

Full solution

Q. estion list\newlineExpress the oonfidence interval 0.666<p<0.888 0.666<p<0.888 in the form p^±E \hat{p} \pm E .\newlineQuestion 3737\newlinep^±E=± \hat{p} \pm E=\square \pm \square \newlineQuestion 3232
  1. Calculate midpoint: Calculate the midpoint of the confidence interval to find p^\hat{p}.\newlinep^=0.666+0.8882=0.777\hat{p} = \frac{0.666 + 0.888}{2} = 0.777
  2. Calculate margin of error: Calculate the margin of error EE by subtracting p^\hat{p} from the upper limit of the interval.\newlineE=0.8880.777=0.111E = 0.888 - 0.777 = 0.111
  3. Write confidence interval: Write the confidence interval in the form p^±E\hat{p} \pm E.\newlinep^±E=0.777±0.111\hat{p} \pm E = 0.777 \pm 0.111

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