What is the p-value? The table to the right contains observed values and expecte

Question

What is the p-value?

The 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 has two categories. Use the table to complete parts (a) and (b) below. 34 4247 (35.14) 43.93)(43.93) 18 23 18 16.86)(21.07 (21.07 (a) Compute the value of the chi-square test statistic. X 1.037 (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the ? = 0.1 level of significance. A. Ho: The Y category and X category are independent. H1: The Y category and X category are dependent. Ho: The Y category and X category have equal proportions. H1: The proportions are not equal ) B. D. Ho: The Y category and X category are dependent. H1: The Y ceory and X category are independent. What is the P-value? P-value(Round to three decimal places as needed.)

Explanation / Answer

Degree of freedom: df =( number of rows -1)*(number of columns-1) = (3-1)*(2-1)=2

The p-value using excel function "=CHIDIST(1.037,2)" is 0.595.

Since p-value is greater than 0.10 so we fail to reject the null hypothesis.

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