Question

Express the confidence interval 0.491 ± 0.057 in the form of p-E < p

A) 0434

B) 0.434

C) 0.491

D) 0.4625 < p <0.5195.

Answer 1

0.424<0.538

Explanation:

Given the confidence interval 0.491 ± 0.057, we are to express in the form

p-E < p + E where E is the error

From the interval E = 0.057, p = 0.591

p±E = (p+E, p-E)

0.491 ± 0.057 = (0.491-0.057, 0.491+0.057)

0.491 ± 0.057 = (0.434, 0.548)

Hence the interval in the form

p-E < p + E is 0.424<0.538