Research and decision making based on proportions

A PriceWaterhouseCooper report estimates that the US video game market was approximately $8.6 billion in 2007 and is expected to increase at an annual rate of 6.3% through 2012.

Who plays video games?

A PEW survey, conducted by the Princeton Survey Research International reports that over half of American adults aged 18 and over play video games. The PEW survey used a nationally representative sample of 2054 adults. Of the total, 1063 adults said that they played video games. Thus, the number of people who responded "yes" is X=1063 and sample size, n=2054)

What is the proportion of adults who played video games?

Use:

For large sample sizes, is approximately Normal.

The mean of the distribution of is

The standard deviation of is

The Standard Error of is

The margin of error for confidence level C is

The large sample C confidence interval for is

You can use this interval for 90%, ( ), 95%, ( ), 99%, ( ) confidence when the number of successes and the number of failures are both at least 15.

While answering the following questions, please make sure that you show your detailed solutions.

What is the sample proportion of adults who play video game?

What is the Standard Error?

What is the margin of error for 95% confidence?

What is the confidence interval for 95% confidence?

Complete the following sentence:

We are 95% confident that between _________________________adults play video games.

What is the margin of error for 99% confidence?

What is the confidence interval for 99% confidence?

Complete the following sentence:

We are 99% confident that between _________________________adults play video games.

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