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Chapter 8: Q 41. (page 522)

Video games A Pew Research Center report on gamers and gaming

estimated that 49% of U.S. adults play video games on a computer, TV, game console, or portable device such as a cell phone. This estimate was based on a random sample of 2001 U.S. adults. Construct and interpret a 95% confidence interval for the proportion of all U.S. adults who play video games.

Short Answer

Expert verified

The confidence interval is(0.468,0.512)

Step by step solution

01

Given Information

It is given that p^=49%=0.49

n=2001

02

Concept Used

Formula to be used isCI=p^卤za/2脳p^(1-p^)n

03

Calculation

From normal standard table, at 95%confidence interval, zscore is 1.96

95%confidence interval is calculated as

CI=p^卤z伪/2脳p^(1-p^)n

=0.49卤1.96脳0.49(1-0.49)2001

(0.468,0.512)

Hence, probability is 95%that proportion of adults playing video games lies in range(0.468,0.512)

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