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