The article “Kids Digital Day: Almost 8 Hours” (USA Today, January 20, 2010) summarized a national survey of 2,002 Americans ages 8 to 18. The sample was selected to be representative of Americans in this age group. Of those surveyed, 1,321 reported owning a cell phone. a) Construct a 98% confidence interval for the population proportion of all Americans ages 8 to 18 who own a cell phone, p, by hand. Show all work by writing the formula and substituting in the appropriate values. (Round two decimal places) b) Construct a 98% confidence interval for the population proportion of all Americans ages 8 to 18 who own a cell phone, using technology (calculator). (Round four decimal places) c) Interpret the confidence interval in the context of the problem.
The article “Kids Digital Day: Almost 8 Hours” (USA Today, January 20, 2010) summarized a national survey of 2,002 Americans ages 8 to 18. The sample was selected to be representative of Americans in this age group. Of those surveyed, 1,321 reported owning a cell phone.
a) Construct a 98% confidence interval for the population proportion of all Americans ages 8 to 18 who own a cell phone, p, by hand. Show all work by writing the formula and substituting in the appropriate values. (Round two decimal places)
b) Construct a 98% confidence interval for the population proportion of all Americans ages 8 to 18 who own a cell phone, using technology (calculator). (Round four decimal places)
c) Interpret the confidence interval in the context of the problem.
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