Find the test statistic
Can moving their hands help children learn math? This question was investigated in a study. Eighty-five children in the third and fourth grades who did not answer any questions correctly on a test with six problems of the form
were participants in an experiment. The children were randomly assigned to either a no-gesture group or a gesture group. All the children were given a lesson on how to solve problems of this form using the strategy of trying to make both sides of the equation equal. Children in the gesture group were also taught to point to the first two numbers on the left side of the equation with the index and middle finger of one hand and then to point at the blank on the right side of the equation. This gesture was supposed to emphasize that grouping is involved in solving the problem. The children then practiced additional problems of this type. All children were then given a test with six problems to solve, and the number of correct answers was recorded for each child. Summary statistics are given below.
Find the test statistic
![Can moving their hands help children learn math? This question was investigated in a study. Eighty-five children in the third and fourth grades who did not answer any questions correctly on a test with
six problems of the form 3 + 2 + 8 =
lesson on how to solve problems of this form using the strategy of trying to make both sides of the equation equal. Children in the gesture group were also taught to point to the first two numbers on
+ 8 were participants in an experiment. The children were randomly assigned to either a no-gesture group or a gesture group. All the children were given a
the left side of the equation with the index and middle finger of one hand and then to point at the blank on the right side of the equation. This gesture was supposed to emphasize that grouping is
involved in solving the problem. The children then practiced additional problems of this type. All children were then given a test with six problems to solve, and the number of correct answers was
recorded for each child. Summary statistics are given below.
S
No gesture
42
1.3
0.3
Gesture
43
2.5
0.4
In USE SALT
Is there evidence that learning the gesturing approach to solving problems of this type results in a significantly higher mean number of correct responses? Test the relevant hypotheses using a = 0.05.
(Use H1
for the gesture group and
for the no-gesture group.)
State the appropriate null and alternative hypotheses.
Ho: H1 - H2 = 0
Ha: H1 - Mz# 0
O Ho: H1 - H2 # 0
Hai Hy- H2 = 0
Ho: H1 - 42 > 0
Hai H1 - H2 = 0
Hoi H1- Hz =
Hai H1 - H2> 0
O Ho: H1 - H2> 0
Hai H1- Hz< O
Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
|-14.365](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b3bd805-cb1d-4d40-927f-88cb3f6ce6d9%2F5b7212b2-df56-4955-bd2a-a4a739292eba%2Fi926ndj_processed.png&w=3840&q=75)
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