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 175 145 110 90 94 118 School B 83 135 115 105 105 113 ​ Twin Pair 7 8 9 10 11 12 School A 87 112 115 144 124 96 School B 93 87 98 132 135 105 ​ Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills. What is the level of significance α? ​ Group of answer choices   a = 1.0 a = 0.12 a = 0.01 a = 0.10 a = 0.20

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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

175

145

110

90

94

118

School B

83

135

115

105

105

113

Twin Pair

7

8

9

10

11

12

School A

87

112

115

144

124

96

School B

93

87

98

132

135

105

Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills. What is the level of significance α?

Group of answer choices
 
a = 1.0
a = 0.12
a = 0.01
a = 0.10
a = 0.20
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