Question

Express the confidence interval 62%±5.6%62%±5.6% in interval form.

Answer #1

Given confidence interval is, (62% +/- 5.6%)

Therefore value is in pecenptage, so here we have write confidence interval in the form of population proportion (p).

So, the confidence interval is,

(P^ +/- E )

=> ( P^ - E ) < p < ( P^ + E )

Here, P^ = 62% = 0.62 and E = 5.6% = 0.056

(62% - 5.6%) < p < (62% - 5.6%)

(0.62 - 0.056) < p < (0.62 - 0.056)

( 0.564 ) < p < ( 0.676 )

Therefore,

the confidence interval is lies between ( 0.564 , 0.676 )

Or ( 56.4% , 67.6% )

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