In a certain city, there are about one million eligible voters. a simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. the results were: men women voted 2777 3466 didn't vote 1444 2313 if we are testing for a relationship between gender and participation in the last election, what is the test statistic?

REQUIRED TEST STATICS IS 35.19

Step-by-step explanation:

total size of sample = 10,000

                                     men                            women

voted                           2777                            3466

did not vote                  1444                             2313

By chi square test we can find the relationship between gender and participation in the election

where

a represent  = 2777, b = 3466, c= 1444, d = 2313, N = 10000

Putting values to get chis square statics

HENCE REQUIRED TEST STATICS IS 35.19

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this