Question

The Kaiser Family Foundation comissioned an extensive survey in 2004 that investigated the degree to which American youth from ages 8 18 have access to various forms of media. They distributed written questionnaires to a random sample of 2032 youths in this age range. Among the 2032 youths who were sampled. 49% reported having a video game player and 31% reported having a computer in their bedroom. Round your answers to three decimal places, if required. a. Determine a 99% confidence interval for the population proportion of American youths who have a video game player in their bedrooms b. Repeat part a for the proportion who have a computer in their bedrooms. c. Determine the margin-of-error (half-width) for each of these confidence intervals. er for the 99 96 for the continentin Amaranthe who haudan Amanlar in their hasta

Answer 1

a) 99%. CI = 2 = 2.38 (from table) P=0.49 ; n=2032 ê CI- D Margin of error, t = = 2.58 xl 10.40 C1-0.49) 2032 €= 0.0286 CI= Pzt = 0.49+0.0286 & Co.u61, 0.518) b) = 0.31 E = 2X PCI-P) n 2-58 X 0.31 (1-0. 31 2032 = 0.0265 CI = ête= 0.31 +0.0265 (0.284,0.336) c) It has been included in previous parts d) Margin of fooor depends on both samples size & Confidence level. 16 sample size is high, Margin of error reduces & af Confidence interval is high, the margin of error increases.