Suppose a conference venue has a variety of furniture. About one-tenth of the furniture is distributed over four halls. Observe that we have about 250 pieces of furniture in each hall. Observed Frequencies Observed Hall A Hall B Hall C Hall D Total Chairs 100 92 89 81 362 Tables 100 77 78 85 340 Stools 50 81 75 76 282 Total 250 250 242 242 984 Required: a) Find the expected frequencies of each category. Expected Frequencies Expected Hall A Hall B Hall C Hall D Total Chairs 0.41322314 0.078252033 #DIV/O! #DIV/O! #DIV/O! Tables 0.101626016 0.950617284 1.04 1.118421053 1.205673759 Stools #DIV/O! 0.324 0.309917355 0.314049587 0.286585366 Total #DIV/O! #DIV/O! #DIV/O! #DIV/O! #DIV/O! b) Find the Chi-Squared p-value 60500c) Do you reject or not reject the null hypothesis at alpha = 0.05? Reject the null hypothesis d) We conclude that Furniture Type is dependent on the Hall.Required: a) Find the expected frequencies of each category. Expected Frequencies Expected Hall A Hall B Hall C Hall D Total Chairs 0.41322314 X 0.078252033 x #DIV/O! X #DIV/O! X #DIV/O! X Tables 0.101626016 x 0.950617284 X 1.04 x 1.118421053 x 1.205673759 X Stools #DIV/O! X 0.324 X 0.309917355 X 0.314049587 X 0.286585366 Total #DIV/O! X #DIV/O! X #DIV/O! X #DIV/O! X #DIV/O! b) Find the Chi-Squared p-value 60500 X c) Do you reject or not reject the null hypothesis at alpha = 0.05? Reject the null hypothesis d) We conclude that Furniture Type is dependent on the Hall