The student counts in these categories were Ž.Ž. 11, 52, 23, 22 when family income was low, 9, 44, 13, 10 when family Ž. income was middle, and 9, 41, 12, 27 when family income was high. a. Test independence of educational aspirations and family income usingX 2 orG 2 .Explain the deficiency of this test for these data. b. Find the standardized Pearson residuals. Do they suggest any association pattern? c. Conduct an alternative test that may be more powerful. Interpret.

Letter c i’d say

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12