During Tim Horton's Roll up the Rim campaign 16.67% of coffee cups result in a customer win (a win is considered to be a prize of any kind). Based on the sample below (also available for download here RollUpData.xlsx)ROLL UP THE RIM CUP SAMPLEWIN WIN LOSS LOSS WIN LOSS LOSS LOSS WIN LOSS LOSSLOSS WIN LOSS LOSS LOSS WIN LOSS WIN WIN LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSSLOSS LOSS WIN LOSS LOSS LOSS LOSS WIN WIN LOSS WINWIN LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS WIN LOSSLOSS LOSS WIN LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSWIN LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS WIN LOSS LOSS WIN LOSS LOSS LOSS WIN LOSS LOSSLOSS WIN LOSS LOSS WIN LOSS LOSS WIN LOSS LOSS WINWIN LOSS WIN LOSS WIN LOSS LOSS LOSS WIN LOSS LOSSLOSS WIN LOSS LOSS LOSS WIN LOSS LOSS WIN LOSS LOSSLOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS WIN LOSS LOSSLOSS WIN LOSS LOSS LOSS LOSS WIN WIN LOSS WIN WINWIN LOSS WIN LOSS LOSS LOSS WIN WIN LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSSLOSS WIN WIN LOSS LOSS LOSS LOSS LOSS LOSS WIN LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSSa) What is the probability of getting a sample with more than or equal to the number of winning cups found here? (3 marks) b) Is there evidence that too many cups are resulting in customer wins? (1 mark) (YOU MUST EXPLAIN YOUR ANSWER MATHEMATICALLY FOR THE MARK)

Question

During Tim Horton's Roll up the Rim campaign 16.67% ﻿of coffee cups result in a customer win (a win is considered to be a prize of any kind). ﻿ Based on the sample below (also available for download here RollUpData.xlsx)ROLL UP THE RIM CUP SAMPLEWIN WIN LOSS LOSS WIN LOSS LOSS LOSS WIN LOSS LOSSLOSS WIN LOSS LOSS LOSS WIN LOSS WIN WIN LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSSLOSS LOSS WIN LOSS LOSS LOSS LOSS WIN WIN LOSS WINWIN LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS WIN LOSSLOSS LOSS WIN LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSWIN LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS WIN LOSS LOSS WIN LOSS LOSS LOSS WIN LOSS LOSSLOSS WIN LOSS LOSS WIN LOSS LOSS WIN LOSS LOSS WINWIN LOSS WIN LOSS WIN LOSS LOSS LOSS WIN LOSS LOSSLOSS WIN LOSS LOSS LOSS WIN LOSS LOSS WIN LOSS LOSSLOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS WIN LOSS LOSSLOSS WIN LOSS LOSS LOSS LOSS WIN WIN LOSS WIN WINWIN LOSS WIN LOSS LOSS LOSS WIN WIN LOSS LOSS LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSSLOSS WIN WIN LOSS LOSS LOSS LOSS LOSS LOSS WIN LOSSLOSS LOSS LOSS LOSS LOSS WIN LOSS LOSS LOSS LOSS LOSSa) ﻿What is the probability of getting a sample with more than or equal to the number of winning cups found here? (3 ﻿marks) ﻿b) ﻿Is there evidence that too many cups are resulting in customer wins?  (1 ﻿mark) (YOU MUST EXPLAIN YOUR ANSWER MATHEMATICALLY FOR THE MARK)

Accepted Answer

First, let's count the number of winning and losing cups in the given sample.  Counting Wins and Losse...

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