Question 11

The chance of rolling a pair of six-sided dice and getting a sum of seven is 1/6. A friend claims that they can roll the pair of dice in such a way that the sum of seven will appear more often than 1/6 without anyone noticing there is any trickery going on. Out of 70 throws of the dice, 19 resulted in a sum of seven.

Show your work

a. [2] What is the null and alternative hypothesis? Use proper symbols.

b. [2] What is the value of the test statistic (I only want the test statistic for the question)?

Show work.

(Write to two decimal places)

c. [3] Calculate P-value.

(Write to three decimal places)

d. [2] Is the result statitically significant at the 3% significance level?