We want to determine the p-value, or right-tail area, associated with the test statistic X² = 6.83 found in part (a). A chi-square distribution table only lists chi-square values x² for some values of the right-tail area, a, so the exact p-value cannot be found directly from the table. Instead, we will find 2 the closest table values less than and greater than the test statistic to determine an interval for the p-value. When the test statistic falls between two Xa 2 values, the p-value will fall between their associated a values. The following is an excerpt from the chi-square distribution table. 2 X0.100 2 X0.050 2 2.70554 3.84146 5.02389 X0.025 Op-value> 0.100 0.005 < p-value < 0.010 0.010 < p-value < 0.025 0.025 p-value < 0.050 0.050 p-value < 0.100 2 X0.010 4.60517 5.99147 7.37776 9.21034 6.63490 6.25139 7.81473 9.34840 11.3449 2 X0.005 df 7.87944 1 10.5966 2 7.77944 9.48773 11.1433 13.2767 14.8602 4 12.8381 3 2 We previously determined that the degrees of freedom for the test is df = 2, so we use the second row of x² values in the above table. Comparing the test statistic X² = 6.83 to the chi-square values, the closest x₂²value less than the test statistic is x₂ = ---Select-- and corresponds to a right-tail 2 area of a = ---Select-- C The closest Xa 2 value greater than X² = 6.83 is x₂² --Select-- and corresponds to a = -Select-- . Using the values of a found above, determine the approximate p-value for the test. O p-value < 0.005