1. The immigration office observed 10 applications from China, 20 from Columbia, and 15 from Cuba. They were expecting 5 from China, 25 from Columbia, and 15 from Cuba. Do you reject their null hypothesis?

2. Redo question 1 assuming that the null hypothesis is that an equal number of applications will be received from each country.

3. A politician gives a speech about how s/he has improved the economy. The speech is based on faulty reasoning (regression to the mean). There are 50 418 graduates in the audience and 80 people who have never taken 418. 10 out of the 50 418 graduates fall for the politician's faulty reasoning. 40 out of the 80 people who have never taken 418 fall for the faulty reasoning. Do 418 graduates reason more effectively than others? The null hypothesis is that 418 graduates are no different

4. The emissions of three Ford cars were compared to five Hondas. Are they significantly different at the .05 alpha level?
Ford: 20, 10, 30
Honda: 5, 10, 15, 5, 15