The accompanying data table lists measures of self-esteem from a student project. The objective of the project was to study how levels of self-esteem in subjects relate to their perceptions of self-esteem in other target people who were described in writing. The test her works well even though the data are at the ordinal level of measurement. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? Click on the icon to view the data table. State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There H₁: There interaction between the subject's self-esteem and the target's self-esteem in determining self-esteem measures. interaction between the subject's self-esteem and the target's self-esteem in determining self-esteem measures. Self-esteem Measures for Subject and Target Target's self-esteem Low High 3 5 3 3 A Low 5 3 4 4 3 2 2 Subject's self-esteem 3 4 2 3 Medium 2 A 4 3 1 4 1 1 2 3 1 4 3 2 3 1 4 3 3 High 2 3 2 2 - X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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The accompanying data table lists measures of self-esteem from a student project. The objective of the project was to study how levels of self-esteem in subjects relate to their perceptions of self-esteem in other target people who were described in writing. The test here
works well even though the data are at the ordinal level of measurement. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion?
Click on the icon to view the data table.
State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors.
Ho: There
interaction between the subject's self-esteem and the target's self-esteem in determining self-esteem measures.
interaction between the subject's self-esteem and the target's self-esteem in determining self-esteem measures.
H₁: There
G
Self-esteem Measures for Subject and Target
Target's self-esteem
Low
High
5
3
3
3
5
3
3
3
3
2
1
4
Print
Low
5
3
^
4
1
3
2
4
Subject's self-esteem
Medium
2
2
3
1
1
4
1
2
3
Done
3
3
3
^
3
2
3
4
3
1
3
3
3
3
4
3
High
2
2
4
3
2
2
2
4
3
4
Transcribed Image Text:The accompanying data table lists measures of self-esteem from a student project. The objective of the project was to study how levels of self-esteem in subjects relate to their perceptions of self-esteem in other target people who were described in writing. The test here works well even though the data are at the ordinal level of measurement. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? Click on the icon to view the data table. State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There interaction between the subject's self-esteem and the target's self-esteem in determining self-esteem measures. interaction between the subject's self-esteem and the target's self-esteem in determining self-esteem measures. H₁: There G Self-esteem Measures for Subject and Target Target's self-esteem Low High 5 3 3 3 5 3 3 3 3 2 1 4 Print Low 5 3 ^ 4 1 3 2 4 Subject's self-esteem Medium 2 2 3 1 1 4 1 2 3 Done 3 3 3 ^ 3 2 3 4 3 1 3 3 3 3 4 3 High 2 2 4 3 2 2 2 4 3 4
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