A beer industry association is interested in determining the preference of workers for light, dark, and...

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Statistics

A beer industry association is interested in determining thepreference of workers for light, dark, and regular beers. A surveywas conducted in which 300 blue color workers and 300 white colorworkers, randomly selected from two groups, were given a choice ofthree different beers. Each worker expressed their favorite. Thefollowing results were obtained:
Worker
Light Beer
Dark Beer
Regular Beer
Blue Color
75
50
175
White Color
120
85
95
The value of the chi-square test statistic is:
The critical value of chi-square obtained from the table (orusing MS Excel) for a 5% level of significance (alpha) is:
Based on your answers to the previous questions, your decisionis to Accept H₀. (True or False):

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Solution Here we have to use chi square test for independence of two categorical variables Null hypothesis H0 Two variables are independent Alternative hypothesis Ha Two variables are dependent We assumegiven level of significance 005 Test statistic formula is given as below Chi See Answer

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Worker	Light Beer	Dark Beer	Regular Beer
Blue Color	75	50	175
White Color	120	85	95