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 165 150 85 92 98 121 School B 94 160 92 107 100 115
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 165 150 85 92 98 121 School B 94 160 92 107 100 115
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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 |
165 |
150 |
85 |
92 |
98 |
121 |
| School B |
94 |
160 |
92 |
107 |
100 |
115 |
| Twin Pair |
7 |
8 |
9 |
10 |
11 |
12 |
| School A |
92 |
115 |
120 |
138 |
126 |
94 |
| School B |
95 |
95 |
125 |
136 |
132 |
108 |
Suppose a sign test for matched pairs with a 5% 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?
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