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? 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. What is the value of the test statistic for this test? F = (Round to two decimal places as needed.) What is the corresponding P-value of the test statistic, F, for this test? P-value = (Round to three decimal places as needed.) State the conclusion of this test. Ho. There sufficient evidence to warrant rejection of the claim that measurems of self-esteem are not affected by an interaction between the subject's self-esteem and the target's self-esteem. There between the self-esteem of the subject and the perception of the self-esteem of the target. State the null and alternative hypotheses in the test for the effect from the row factor. OA. Ho: At least one of the rows is sampled from a population with a mean different from the others. H₁: The row values are from populations with the same mean. OB. Ho: The row values are from populations with the same standard deviation. H₁: At least one of the rows is sampled from a population with a standard deviation different from the others. OC. Ho: The row values are from populations with the same mean. H₁: At least one of the rows is sampled from a population with a mean different from the others. OD. In this case, the test for the effect from a row factor should not be done. What is the value of the test statistic for this test? OA. F (Round to two decimal places as needed.) OB. In this case, the test for the effect from a row factor should not be done. What is the corresponding P-value of the test statistic, F, for this test? Self-esteem Measures for Subject and Target Target's self-esteem Low High Low 4 5 4 5 3 4 4 5 4 2 4 । ୩୯୯୯୯ 2 2 2 2 5 4 4 2 2 3 4 2 Subject's self-esteem Medium 2 3 3 4 3 3 3 3 3 4 3 3 3 4 1 1 2 3 1 3 2 3 4 1 4 3 2 2 2 3 4 3 3 3 3 4 3 High 1 2 4 2 3 2 2 2 4 4 3 4 X appear to be an effect from an interaction
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? 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. What is the value of the test statistic for this test? F = (Round to two decimal places as needed.) What is the corresponding P-value of the test statistic, F, for this test? P-value = (Round to three decimal places as needed.) State the conclusion of this test. Ho. There sufficient evidence to warrant rejection of the claim that measurems of self-esteem are not affected by an interaction between the subject's self-esteem and the target's self-esteem. There between the self-esteem of the subject and the perception of the self-esteem of the target. State the null and alternative hypotheses in the test for the effect from the row factor. OA. Ho: At least one of the rows is sampled from a population with a mean different from the others. H₁: The row values are from populations with the same mean. OB. Ho: The row values are from populations with the same standard deviation. H₁: At least one of the rows is sampled from a population with a standard deviation different from the others. OC. Ho: The row values are from populations with the same mean. H₁: At least one of the rows is sampled from a population with a mean different from the others. OD. In this case, the test for the effect from a row factor should not be done. What is the value of the test statistic for this test? OA. F (Round to two decimal places as needed.) OB. In this case, the test for the effect from a row factor should not be done. What is the corresponding P-value of the test statistic, F, for this test? Self-esteem Measures for Subject and Target Target's self-esteem Low High Low 4 5 4 5 3 4 4 5 4 2 4 । ୩୯୯୯୯ 2 2 2 2 5 4 4 2 2 3 4 2 Subject's self-esteem Medium 2 3 3 4 3 3 3 3 3 4 3 3 3 4 1 1 2 3 1 3 2 3 4 1 4 3 2 2 2 3 4 3 3 3 3 4 3 High 1 2 4 2 3 2 2 2 4 4 3 4 X appear to be an effect from an interaction
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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?
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.
What is the value of the test statistic for this test?
F = (Round to two decimal places as needed.)
What is the corresponding P-value of the test statistic, F, for this test?
P-value= (Round to three decimal places as needed.)
State the conclusion of this test.
▼Ho. There ▼sufficient evidence to warrant rejection of the claim that measurems of self-esteem are not affected by an interaction between the subject's self-esteem and the target's self-esteem. There
between the self-esteem of the subject and the perception of the self-esteem of the target.
State the null and alternative hypotheses in the test for the effect from the row factor.
O A. Ho: At least one of the rows is sampled from a population with a mean different from the others.
H₁: The row values are from populations with the same mean.
O B. Ho: The row values are from populations with the same standard deviation.
H₁: At least one of the rows is sampled from a population with a standard deviation different from the others.
O C. Ho: The row values are from populations with the same mean.
H₁: At least one of the rows is sampled from a population with a mean different from the others.
O D. In this case, the test for the effect from a row factor should not be done.
What is the value of the test statistic for this test?
C
O A. F=
(Round to two decimal places as needed.)
O B. In this case, the test for the effect from a row factor should not be done.
What is the corresponding P-value of the test statistic, F, for this test?
O A. P-value = (Round to three decimal places as needed.)
Self-esteem Measures for Subject and Target
Target's self-esteem
Low
High
4
4
3
4
5
4
2
4
2
2
Low
5
5
4
5
4
4
Subject's self-esteem
Medium
2
3
3
4
3
3
3
3
4
2
2
3
4
2
3
3
3
4
1
1
2
3
1
3
5
3
2
3
4
1
4
3
2
2
2
2
3
4
3
3
3
3
4
3
High
1
2
4
2
3
2
2
2
4
4
- X
appear to be an effect from an interaction
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?
State the conclusion of this test.
O A. Do not reject Ho. There is insufficient evidence to warrant rejection of the claim that the row values are from populations with the same standard deviation.
O B. Do not reject Ho. There is insufficient evidence to warrant rejection of the claim that the row values are from populations with the same mean.
O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the row values are from populations with the same mean.
O D. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the row values are from populations with the same standard deviation.
O E. In this case, the test for the effect from a row factor should not be done.
State the null and alternative hypotheses in the test for the effect from the column factor.
O A. Ho: The column values are from populations with the same mean.
H₁: At least one of the columns is sampled from a population with a mean different from the others.
O B. Ho: At least one of the columns is sampled from a population with a mean different from the others.
H₁: The column values are from populations with the same mean.
O C. Ho: The column values are from populations with the same standard deviation.
H₁: At least one of the columns is sampled from a population with a standard deviation different from the others.
O D. In this case, the test for the effect from a column factor should not be done.
What is the value of the test statistic for this test?
O A. F=
(Round to two decimal places as needed.)
O B. In this case, the test for the effect from a column factor should not be done.
What is the corresponding P-value of the test statistic, F, for this test?
OA. P-value =
(Round to three decimal places as needed.)
O B. In this case, the test for the effect from a column factor should not be done.
State the conclusion of this test.
O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the column values are from populations with the same standard deviation.
O B. Do not reject Ho. There is insufficient evidence to warrant rejection of the claim that the column values are from populations with the same mean.
Self-esteem Measures for Subject and Target
Target's self-esteem
Low
High
4
4
3
4
5
4
2
4
2
2
Print
Low
5
5
4
5
4
4
4
4
2
2
3
4
2
3
Subject's self-esteem
Medium
2
3
3
3
3
3
3
3
3
3
4
1
1
2
3
1
Done
3
4
3
3
3
4
3
5
3
2
3
4
1
4
3
2
2
2
2
3
4
3
3
3
3
4
3
High
1
2
4
2
3
2
2
2
4
4
3
4
D
X
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