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 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.
What is the value of the test statistic for this test?
F
nothing (Round to two decimal places as needed.)
What is the corresponding P-value of the test statistic, F, for this test?
P-value
nothing (Round to three decimal places as needed.)
State the conclusion of this test.
▼
Fail to reject
Reject
. There
▼
is
is not
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
▼
does not
does
appear to be an effect from an interaction 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.
A.
: The row values are from populations with the same mean.
: At least one of the rows is sampled from a population with a mean different from the others.
B.
: At least one of the rows is sampled from a population with a mean different from the others.
: The row values are from populations with the same mean.
C.
: The row values are from populations with the same standard deviation.
: At least one of the rows is sampled from a population with a standard deviation different from the others.
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?
A.
F
nothing (Round to two decimal places as needed.)
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?
A.
P-value
nothing (Round to three decimal places as needed.)
B.
In this case, the test for the effect from a row factor should not be done.
State the conclusion of this test.
A.
Reject . There is sufficient evidence to warrant rejection of the claim that the row values are from populations with the same mean.
B.
Reject . There is sufficient evidence to warrant rejection of the claim that the row values are from populations with the same standard deviation.
C.
Do not reject . There is insufficient evidence to warrant rejection of the claim that the row values are from populations with the same standard deviation.
D.
Do not reject . There is insufficient evidence to warrant rejection of the claim that the row values are from populations with the same mean.
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.
A.
: At least one of the columns is sampled from a population with a mean different from the others.
: The column values are from populations with the same mean.
B.
: The column values are from populations with the same mean.
: At least one of the columns is sampled from a population with a mean different from the others.
C.
: The column values are from populations with the same standard deviation.
: At least one of the columns is sampled from a population with a standard deviation different from the others.
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?
A.
F
nothing (Round to two decimal places as needed.)
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?
A.
P-value
nothing (Round to three decimal places as needed.)
B.
In this case, the test for the effect from a column factor should not be done.
State the conclusion of this test.
A.
Do not reject . There is insufficient evidence to warrant rejection of the claim that the column values are from populations with the same standard deviation.
B.
Do not reject . There is insufficient evidence to warrant rejection of the claim that the column values are from populations with the same mean.
C.
Reject . There is sufficient evidence to warrant rejection of the claim that the column values are from populations with the same mean.
D.
Reject . There is sufficient evidence to warrant rejection of the claim that the column values are from populations with the same standard deviation.
E.
In this case, the test for the effect from a column factor should not be done.