I hate green days song American Idiot. Maybe that comes from my dating a smart Canadian lady during my late twenties and she was a little stuck up on how well read Canadians are compared to americans. To prove her wrong. I referred to a Gallup Poll reported that 81% of 1005 randomly sampled Canadians read at least one book in the past year, compared to 85% of 1058 randomly sampled Americans. Was I able, from at least a statistical point of view, to disprove her claim of a higher reading rate in Canada ?

Part 1: Test an appropriate hypothesis and state your conclusions. Make sure to include all parts of well conducted significance test.

Part 2: Find a 98% confidence interval for the difference in the proportion of American and Canadians who read at least one book in the year. Interpret your interval.