Answered

IDNLearn.com: Your trusted platform for finding reliable answers. Our platform is designed to provide reliable and thorough answers to all your questions, no matter the topic.

Paul will select a random sample of students to create a 95 percent confidence interval to estimate the proportion of students at his college who have a tattoo. Of the following, which is the smallest sample size that will result in a margin of error of no more than 5 percentage points?

Sagot :

Fichohidn

Answer:

385

Step-by-step explanation:

Given that:

Margin of Error (MOE) = 5% = 0.05

Zcritical, 95% = Z(1-α/2) = Z0.025 = 1.96

MOE = Zcritical * (√p(1-p))/n)

p is taken as 0.5 when not stated ;

5 = 1.96 * sqrt[(0.5 * 0.5) / n]

5 = 1.96 * sqrt(0.25/n)

Square both sides

(0.05/ 1.96)² = 0.25/n

0.0006507 = 0.25/n

0.0006507 * n = 0.25

n = 0.25 / 0.0006507

n = 384.20162

Sample size = 385

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.