I am convinced that my dice are weird. I consider rolls of 1,2,3 to be weird rolls. I predict that I'll have more of these weird rolls then I should if he 20 sided dice are fair. To test this, I record my next 100 rolls, marking if they are weird or not. I find that 20 were weird rolls even though under the null hypothesis I would have expected only 15 (: rolls 1, 2, and 3 are weird given a 20 sided dice --> 3/20, so 15 out of 100)

Question 1) State the null and alternative hypothesis in equation form and word form.

Question 2) Calculate the appropriate test statistic by hand and p value, what does it mean about my hypothesis?

If now my definition of weird rolls are a roll of a 1, 2, 3, 4, 5 or 6. Looking at my data for my 100 rolls below, am I missing significantly more often than I should?