A poll was conducted by the marketing department of a video

A poll was conducted by the marketing department of a video game company to determine the popularity of a new game that was targeted to be launched in three months. Telephone interviews with 1,500 young adults were conducted which revealed that 600 said they would purchase the now game. Calculate 90 percent confidence level for the real proportion of the potential buyers

Solution

propotion of success = 600/1500 = 0.4

standard error = sqrt (p * (1-p) / n) = sqrt(0.4 * 0.6/1500) = 0.0126

confidence interval

= 0.4 + /- 1.645 * 0.0126

= (0.3793,0.4207)