1. What is the test statistic? What is the p-value?
2. At a 5% significance level (95% confidence level), what is the critical value(s)in this test? Do we reject the null hypothesis?
3. What are the border values of between acceptance and rejection of this hypothesis?
4. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a "1" each time?
5. What is the probability of getting a "1" on the second roll when you get a "1" on the first roll?
6. The House managed to load the die in such a way that the faces "2" and "4" show up twice as frequently as all other faces. Meanwhile, all the other faces still show up with equal frequency. What is the probability of getting a "5" when rolling this loaded die?