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Statistics: Chi-squared Test

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I need a full solution of the attached problem. Added to the problem description should be this information: In a 6/53 lotto each participant fills in a combination of 6 numbers out of a set of 53 possible numbers.

keywords: chi-squared, lottery

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The expert examines finding a solution of a statistics problem using Chi-squared Test.

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We'll use the formula:

Where O are the observed cells , from the table
While E= np = 111,221,666 * 1/21 = 529,627

So we get = ( 288,590- 529,627)² ...

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