122 Section 13.7: Problem 1
(10 points) Suppose that we wish to test a claim that a sequence of sample data was produced in a random manner, and suppose that each data value belongs to one of two categories. Let n_(1) be the number of elements iirthe sequence that belong to the first category, n_(2) be the number of elements in the sequence that belong to the second category, and G be the number of runs in such a sequence.
Answer each of the following questions
(a) The null hypothesis H_(0) is given by
A. Median =0
B. G=0
C. r=0
D. eta =0
E. The data are in an order that is not random
F. The data are in a random order
G. n_(1)=n_(2)
H.
ho =0
None of the above.
(b) The null hypothesis H_(1) is given by
A. G!=0
B. The data are in a random order
C. Median !=0
D.
ho !=0
E. n_(1)!=n_(2)
F. r!=0
G. eta !=0
H. The data are in an order that is not random
H. The data are in an order that is not random
I. None of the above.
(c) If alpha =.05,n_(1)=13,n_(2)=14 and G=14, then the test statistic is
A. z=-1.83542114080655
B. z=+1.32665691391137.
C. z=0.810737582116179.
D. G=14.
E. z=-1.32665691391137.
F. z=+0.189262417883821.
G. z=-0.189262417883821.
H. z=-0.810737582116179.
z=+1.83542114080655.
J. G=-14.
K. None of the above.
(d) If alpha =.01,n_(1)=14,n_(2)=13 and G=14, then the test statistic is
A. z=0.300737582116179
B. z=-0.300737582116179.
C. G=14.
D. z=+0.189262417883821.
E. ≈=0.810737582116179.
F.tilde(z)=-0.810737582116179.
G. z=1.81073758211618.
H. tilde(z)=-0.189262417883821.
I. ≈=-1.81073758211618.
J. G=-14.
K. None of the above.
2
O K.None of the above OJ.G-14. 1.81073758211618 H.=-0.189262417883821 CG.=1.81073758211618 CF-0.810737582116179 E.0.810737582116179 D.+0.189262417883821 Oc.G14. OB.0.300737582116179 OA.0300737582116179 O K.None of the abovel OJ.G-14 OL+1.83542114080655 OH.0.810737582116179 OG.0.189262417883821 OF-+0.189262417883821 OE.1.32665691391137 OD.G14 OC.0.810737582116179 OB.+1.32665691391137 OA.=-1.83542114080655 OI.None of the above. cIf =.05n13,n14 and G=14.then the test statistic is OH. The data are in an order that is not random YouTube Netflix