Question

The Kaiser Family Foundation commissioned 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. One of the many questions asked youths about whether or not they have a television in their bedroom, to which 68% answered yes. Additionally, 49% reported having a video game player and 31% reported having a computer in their bedroom.  

Determine a 95% confidence interval for the population proportion of American youths who have a video game player in their bedrooms. Report the lower endpoint of the interval.

Determine a 95% confidence interval for the proportion who have a computer in their bedrooms. Report the upper endpoint of the interval.

Find and report the margin of error for the 95% confidence interval for the proportion of American youths with a computer in their bedrooms.

Answer 1

49% reported having a video game player

31% reported having a computer in their bedroom.  

95% confidence interval for the population proportion of American youths who have a video game player in their bedrooms.

Answer : lower endpoint of the interval = 0.468

95% confidence interval for the proportion who have a computer in their bedrooms

Answer ; the upper endpoint of the interval is = 0.33

margin of error for the 95% confidence interval for the proportion of American youths with a computer in their bedrooms.

Answer : Margin of error = 0.0201