Chapter 5, Section 2, Exercise 062 State the null and alternative hypotheses. Co
ID: 3064094 • Letter: C
Question
Chapter 5, Section 2, Exercise 062
State the null and alternative hypotheses.
Consider index 1 for the "quiz" group and index 2 for the "reading" group.
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the absolute tolerance is +/-0.01
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the absolute tolerance is +/-0.001
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Chapter 5, Section 2, Exercise 062
To Study Effectively, Test Yourself!
Cognitive science consistently shows that one of the most effective studying tools is to self-test. A recent study1 reinforced this finding. In the study, college students studied pairs of Swahili and English words. All students had an initial study time and then three blocks of practice time. During the practice time, half the students studied the words by reading them side by side, while the other half gave themselves quizzes in which they were shown one word and had to recall its partner. Students were randomly assigned to the two groups, and total practice time was the same for both groups. On the final test one week later, the proportion of items correctly recalled was for the reading-study group and for the self-quiz group. The standard error for the difference in proportions is about . Test whether giving self-quizzes is more effective and show all details of the test. The sample size is large enough to use the normal distribution.
1Pyc, M. and Rawson, K., ‘‘Why testing improves memory: Mediator effectiveness hypothesis,” Science, October 15, 2010; 330: 335.
Explanation / Answer
H0: p1 = p2
H1: p1 > p2
The test statistic z = (p1 - p2)/SE
= (0.42 - 0.15)/0.07
= 3.86
P-value = P(Z > 3.86)
= 1 - P(Z < 3.86)
= 1 - 1 = 0
As the P-value is less than the significance level (0 < 0.05), so the null hypothesis is rejected.
Option - A is correct.
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