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StatisticsQ&A LibraryQuestion HelpThe table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y hastwo categories. Use the table to complete parts (a) and (b) below.X2 X3X1314149Y1|(33.80)(43.26(43.94)192316Y2|(16.20)(20.74) (21.06)(a) Compute the value of the chi-square test statistic.x -(Round to three decimal places as needed.)(b) Test the hypothesis that X and Y are independent at the a =0.01 level of significance.OA. Ho: The Y category and X category have equal proportions.H: The proportions are not equal.B. Ho: The Y category and X category are independent.Hi: The Y category and X category are dependent.OC.H= E, and u, EClick to select your answer(s). Question HelpThe table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y hastwo categories. Use the table to complete parts (a) and (b) below.X X2 X3314149Y1|(33.80)(43.26)(43.94192316Y2(16.20) (20.74)(21.06What is the P-value?P-value =(Round to three decimal places as needed.)Should the null hypothesis be rejected?O A. Yes, reject Ho. There is not sufficient evidence at the a0.01 level of significance to conclude that X and Y are dependent because the P-value>aB. No, do not reject Ho. There is sufficient evidence at the a = 0.01 level of significance to conclude that X and Y are dependent because the P-value < .C. Yes, reject Ho There is not sufficient evidence at the a 0.01 level of significance to conclude that X and Y are dependent because the P-value < .O D. No, do not reject HThere is not sufficient evidence at the a 0.01 level of significance to conclude that X and Y are dependent because the P-value > a.Click to select your answer(s).Question

Asked Dec 2, 2019

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Step 1

The provided data can be tabulated as:

Step 2

(a)

The value of the chi- square statistic is:

Step 3

(b)

The null and alterative...

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