Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 15 - Review - Test - Page 787: 1

Answer

$lower~critical~value\lt r\lt upper~critical~value$: null hypothesis is not rejected. There is not enough evidence to conclude that the winning division does not occur randomly.

Work Step by Step

$H_0:~The~sequence~is~random$ versus $H_1:~The~sequence~is~not~random$ $n=25$, $n_W=14$, $n_E=11$ and $r=13$ Small sample case: $lower~critical~value=8$ $upper~critical~value=19$ (According to table X, for $n_1=14$, $n_2=11$) Test statistic: $r=13$ Since $lower~critical~value\lt r\lt upper~critical~value$, we do not reject the null hypothesis.
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