Determine (a) the chi squaredχ2 test statistic, (b) the degrees of freedom, (c) the critical value using alpha equals 0.05α=0.05, and (d) test the hypothesis at the alpha equals 0.05α=0.05 level of significance. upper h 0h0: p subscript upper apaequals=p subscript upper bpbequals=p subscript upper cpcequals=p subscript upper dpdequals=one fourth14h1: outcome a b c dobserved 21 21 19 19expected 20 20 20 20at least one of the proportions is different from the others. how many degrees of freedom are therethe test statistic critical value

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24