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In the following table, individuals are cross-classified by their age group and income level: Income Age Low Medium High 21-35 140 110 60 36-50 160 170 90 51 65 180 200 140To test that age group and income are independent, the null and alternative hypothesis are A. Ho: Age group and income are dependent; HA: Age group and income are independent B. Ha: Age group and income are mutually exclusive; HA: Age group and income are not mutually exclusive C.Ha: Age group and income are not mutually exclusive; HA: Age group and income are mutually exclusive D. Ha: Age group and income are independent; HA: Age group and income are dependentFor the chi-square test of independence, the value of the test statistic is A. X4 - 2.368 B. xi = 9.765 C. X4 - 12.45 D. X1 = 23.38The p-value is A. less than 0.01 B. between 0.01 and 0.025 C. between 0.05 and 0.10 D. greater than 0.10At the 5% significance level, the critical value is A. 13.257 B. 11.143 C. 9. 488 D. 7.779Using the p-value and critical value approaches, the decision and conclusion for the test are A. do not reject the null hypothesis; age and income are dependent B. do not reject the null hypothesis; age and income are independent O. reject the null hypothesis; age and income are dependent D. reject the null hypothesis; age and income are independent