MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:
 

Twin Pair

1

2

3

4

5

6

School A

168

128

115

99

119

113

School B

123

142

110

110

120

122


 

Twin Pair

7

8

9

10

11

12

School A

120

121

132

145

138

117

School B

105

90

124

142

148

104

 

Suppose a sign test for matched pairs with a 10% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A. State the conclusion of the test and interpret your results with a 10% level of significance.

 

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Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis.
 
Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we do not reject the null hypothesis.
 
Since the P-value is less than the given level of significance, the data are statistically significant. Based on this, we do not reject the null hypothesis.
 
Since the P-value is greater than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.
 
Since the P-value is less than the given level of significance, the data are not statistically significant. Based on this, we reject the null hypothesis.
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