Question

Question 31 3 pts Proportion Problem. Each year Delta Dental does a survey of parents concerning the tradition of the Tooth Fairy. A random sample of 1,058 parents were asked about how much money they leave for a tooth and questions concerning how their child responded to the concept of the Tooth Fairy. In one question, 508 parents indicated that their child saved the money they got for their tooth You are asked to calculate a 99% Confidence Interval for this proportion. .5 is contained in your confidence interval. This is a true or false question True False

Answer 1

Solution! Given that, n=1058 X=508 p = x = 508 = 0.480 los8 point estimate =0.480 -P21-0.480 0.520 At qq % confidence level the zis x=1- qq 0% =1-0.99 = o-os 20:0) = 0.005 Z212= 20.005 - 2.576 Margin of error=E= 2012 X 6 CLA2 Es 2.576x0.480 XO 520 1 1058 E=0.040 At 99% confidence intervall for p is - ² € <p < ÊTE 0.480-0.040 <p<0-480 +0.040 0.440 Loko.520 0.440 and 0.520 - option True is correct