Question

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 n1 be the number of elements in the sequence that belong to the first category, n2 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 H0 is given by

A. n1=n2
B. The data are in a random order
C. Median=0
D. The data are in an order that is not random
E. β=0
F. ρ=0
G. G=0
H. r=0
I. None of the above.

(b) The null hypothesis H1 is given by

A. n1≠n2
B. ρ≠0
C. β≠0
D. The data are in an order that is not random
E. The data are in a random order
F. G≠0
G. r≠0
H. Median ≠0
I. None of the above.

(c) If α=.05, n1=19, n2=10 and G=16, then the test statistic is

A. z=+2.15097992486021.
B. z=1.79688627814193.
C. z=−1.79688627814193.
D. G=−16.
E. z=−0.0550236217881157.
F. z=0.0550236217881157.
G. z=−0.79688627814193.
H. z=0.79688627814193.
I.  z=−2.15097992486021.
J. G=16.
K. None of the above.

(d) If α=.01, n1=10, n2=19 and G=16, then the test statistic is

A. z=−0.79688627814193.
B. z=2.79688627814193.
C. z=−2.79688627814193.
D. G=−16G=−16.
E. z=1.28688627814193.
F. z=0.79688627814193.
G. z=1.79688627814193.
H. z=−1.28688627814193.
I. G=16.
J.z=−1.79688627814193.
K. None of the above.

Answer 1