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(a) What are the null and alternate hypotheses? 0.001 0.010 (b) Suppose the P-value is approximately 0.0048, conclude the test using a (a=0.01) 1% level of significance. Does the test indicate that we should reject or fail to reject the null hypothesis? Explain.

(a) What are the null and alternate hypotheses? 0.001 0.010 (b) Suppose the P-value is approximately 0.0048, conclude the test using a (a=0.01) 1% level of significance. Does the test indicate that we should reject or fail to reject the null hypothesis? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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10. A psychologist is studying pattern-recognition skills under four laboratory settings. In each setting, a fourth-grade child is given a pattern-recognition test with 10 patterns to identify. In setting I, the child is given praise for each correct answer and no comment about wrong answers. In setting II, the child is given criticism for each wrong answer and no comment about correct answers. In setting III, the child is given no praise or criticism, but the observer expresses interest in what the child is doing. In setting IV, the observer remains silent in an adjacent room watching the child through a one-way mirror. A random sample of fourth-grade children was used, and each child participated in the test only once. Because each of the groups comes from independent random samples (no child was tested twice), we need assume only that each group of data came from a normal distribution, and that all the groups came from distributions with about the same standard deviation. Group I (Praise) Group II (Criticism) Group III (Interest) Group IV (Silence) n, = 5 n2 = 4 n3 = 6 n4 = 5 X1 X2 x3 X3 X4 6. 81 4 9. 81 25 8 64 25 6. 7 49 8 64 16 49 9. 6. 81 9. 8. 64 6. 36 49 25 7. 49 6. 36 Ex1 = 41 Ex2 = 14 Ex3 = 38 EX4 28 339 54 = 264 = 168 (a) What are the null and alternate hypotheses? 0.001 0.010 (b) Suppose the P-value is approximately 0.0048, conclude the test using a (a=0.01) 1% level of significance. Does the test indicate that we should reject or fail to reject the null hypothesis? Explain. 1254 3
Transcribed Image Text:10. A psychologist is studying pattern-recognition skills under four laboratory settings. In each setting, a fourth-grade child is given a pattern-recognition test with 10 patterns to identify. In setting I, the child is given praise for each correct answer and no comment about wrong answers. In setting II, the child is given criticism for each wrong answer and no comment about correct answers. In setting III, the child is given no praise or criticism, but the observer expresses interest in what the child is doing. In setting IV, the observer remains silent in an adjacent room watching the child through a one-way mirror. A random sample of fourth-grade children was used, and each child participated in the test only once. Because each of the groups comes from independent random samples (no child was tested twice), we need assume only that each group of data came from a normal distribution, and that all the groups came from distributions with about the same standard deviation. Group I (Praise) Group II (Criticism) Group III (Interest) Group IV (Silence) n, = 5 n2 = 4 n3 = 6 n4 = 5 X1 X2 x3 X3 X4 6. 81 4 9. 81 25 8 64 25 6. 7 49 8 64 16 49 9. 6. 81 9. 8. 64 6. 36 49 25 7. 49 6. 36 Ex1 = 41 Ex2 = 14 Ex3 = 38 EX4 28 339 54 = 264 = 168 (a) What are the null and alternate hypotheses? 0.001 0.010 (b) Suppose the P-value is approximately 0.0048, conclude the test using a (a=0.01) 1% level of significance. Does the test indicate that we should reject or fail to reject the null hypothesis? Explain. 1254 3
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