Question

Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.

Answer 1

The Constructed  confidence interval for the proportion of her photographs taken within the last year contained flowers is

$CI\ E(0.57,0.65)$

From the question we are told that:

The proportion of photographs that had flowers P= 0.61

Margin of error of M.E= 0.04

Generally, the equation for Confidence interval for proportion is mathematically given by

$CI=0.61 \pm 0.04$P \pm M.E

Therefore Confidence interval is

$CI=0.61 \pm 0.04$

And can also be written as

$CI\ E((0.61+0.04),0.61-0.04))$

$CI\ E(0.57,0.65)$

In conclusion the Confidence interval is

$CI\ E(0.57,0.65)$

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