Determine (a) the chi squared test statistic, (b) the degrees of freedom, (c) the critical value using alpha equals 0.05, and (d) test the hypothesis at the alpha equals 0.05

level of significance.

H_{o:pA=pB=pC=pD=1/4 OUTCOME A B C D}

_{OBSERVED 18 22 19 21}

_{Expected 20 20 20 20}

a) The test statistic is______(exact answer)

b) There are_______degrees of freedom

c)The critical value is________(round to three decimal places as needed)

d)Should the null hypothesis be rejected?

A. No, because X20 is greater than X2 0.05

B. No because X20 is less than X2 0.05

C. Yes because X20 is greater than X2 0.05

D. Yes because X20 is less than X2 0.05