Scenario: A properly-balanced 6-sided game die should give a 1 in exactly 1/6 (16.7%) of all rolls. A casino wants to test its game die. If the die is not properly balanced one way or another, it could give either too many 1’s or too few 1’s, either of which could be bad.

The casino wants to use the proportion of 1’s to test whether the die is out of balance. So the casino test-rolls the die 60 times and gets a 1 in 9 of the rolls (15%).

Write down the null and alternative hypotheses in the space provided below: