Question

Determine the point estimate of the population​ proportion, the margin of error for the following confidence​ interval, and the number of individuals in the sample with the specified​ characteristic, x, for the sample size provided. Lower bound equals 0.345​, upper boundequals0.895​, nequals1000

Answer 1

For this case we have the following confidence interval given:

`0.345 \leq p \leq 0.895`

And for this case we want to find the estimated proportion like this:

`\hat p= (0.345 +0.895)/(2)= 0.62`

And the margin of error for this case would be given by:

`ME= (0.895-0.345)/(2)= 0.275`

Explanation:

For this case we have the following confidence interval given:

`0.345 \leq p \leq 0.895`

And for this case we want to find the estimated proportion like this:

`\hat p= (0.345 +0.895)/(2)= 0.62`

And the margin of error for this case would be given by:

`ME= (0.895-0.345)/(2)= 0.275`