Question

Exergames are active video games such as rhythmic dancing games, virtual bicycles, balance board simulators, and virtual sports simulators that require a screen and a console. A study of exergaming practiced by students from grades 10 and 11 in Montreal, Canada, examined many factors related to participation in exergaming. Of the 360 students who reported that they stressed about their health, 29.1 % said that they were exergamers. Of the 840 students who reported that they did not stress about their health, 20.2 % said that they were exergamers.

Let population 1 be those who do stress about their health.

Find the 95% confidence interval for the difference in proportions. ( ±0.001)?

The 95% confidence interval is from _ to _ .

Answer 1

= 0.291, 1 - = 0.709, n₁ = 360,

= 0.202, 1 - = 0.798, n₂ = 840,

=0.05

The Zcritical (2 tail) for = 0.05, is 1.96

The Confidence Interval is given by (- ) ME, where

(- ) = 0.291 – 0.202 = 0.089

The Lower Limit = 0.089 - 0.054 = 0.035

The Upper Limit = 0.089 + 0.054 = 0.143

The 95% Confidence Interval is from 0.035 to 0.143.