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You are conducting a chi-squared test of independence to determine if the association between variable A and variable B is statistically significant at an

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You are conducting a chi-squared test of independence to determine if the association between variable A and variable B is statistically significant at an = 0.05 level. The observed data is summarized in the table below. B1 B2 Total A1 39 7 46 A2 15 12 27 A3 11 8 19 Total 65 27 92 Fill in the expected values in the following table. Round expected values to two decimal places. B B2 A A2 A3 Fill in the individual contributions towards the x statistic in the following table. Round the individual contributions to four decimal places. B B2 A1 A2 A3 What is the chi-square test-statistic for this data? Round your answer to four decimal places. Xstat What are the degrees of freedom for this test? df = What is the critical value for this test? (Express your answer rounded to 3 decimal places.) Xcrit The test statistic and critical value lead to a decision to O reject the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that O there is a significant relationship between the two variables. O we do not have enough evidence to disprove that the two variables are independent.

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