Need help 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 onlylists chi-square valuesXa2 for some values of the right-tail area, a, so the exact p-value cannot be found directly from the table. Instead, we will findthe 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 twoX₂² values, the p-value will fall between their associated a values. The following is an excerpt from the chi-square distribution table.2X0.1002X0.050 X0.02522.70554 3.84146 5.023894.60517 5.99147 7.377766.25139 7.81473 9.34840XX0.010 X0.005 df26.63490 7.87944 19.21034 10.5966 211.3449 12.8381 37.77944 9.48773 11.1433 13.2767 14.8602 42We 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 thetest 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-tailarea of a = ---Select--- . The closest x² value greater than X² = 6.83 is X₂² 2-Select-- and corresponds to a = ---Select--- .=Using the values of a found above, determine the approximate p-value for the test.O p-value < 0.005O 0.005 < p-value < 0.0100.010 < p-value < 0.0250.025 p-value < 0.0500.050 p-value < 0.100O p-value > 0.100

The given degrees of freedom is 2 and the test statistic is 6.83.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 25SGR