A survey of 280 homeless persons showed that 63 were veterans. Construct a 90% confidence interval for the proportion of homeless persons who are veterans. a. (0.184, 0.266)
b. (0.176, 0.274)
c. (0.167, 0.283)
d. (0.161, 0.289)

And the best option would be:

a. (0.184, 0.266)

Step-by-step explanation:

We have the following info given:

represent the homeless persons that were veterans

represent the sampel size

The estimated proportion for this case would be:

The confidence interval would be given by this formula

For the 90% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.

And replacing into the confidence interval formula we got:

And the best option would be:

a. (0.184, 0.266)

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.