Question 8 Background : Maize and Blue Marbles A statistician is going to play the game 'What is in the Box?'. He will win a monetary prize if he can correctly identify the contents of a box (which he cannot see inside). There are two possibilities for the contents of the box shown below as competing hypotheses: Ho: The box contains eight maize marbles and two blue marbles. Ha: The box contains five maize marbles and five blue marbles. The box of marbles will be thoroughly mixed. The statistician will be allowed to select just one marble out of the box (without looking at the full contents) and observe its color. He must make his decision based on the color of that one selected marble. He has picked the following reasonable decision rule to use: Reject Ho if the observed color of the selected marble ls BLUE. Question 8 Subquestions 8.a For this situation, what is the probability of correctly rejecting Ho? I' Show answer 8.b . . . . . . . . . For this Situation, what Is the probability of Incorrectly rejecting Ho? I' Show