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. H₂: There interaction between the subject's self-esteem and the target's self-esteem in determining self-esteem measures. H₁: There 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. H.: 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. H₂: 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. OC. 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. 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? OA. 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 5 5 4 2 4 2 2 2 2 Print Low 4 4 5 3 4 5 Subject's self-esteem 2 2 3 4 2 3 Medium 2 3 4 4 2 3 4 1 1 2 3 1 Done 3 4 2 3 3 4 3 2 3 4 1 4 3 2 3 2 2 4 3 3 3 3 4 3 High 1 3 4 2 3 2 2 2 4 4 3 4 - appear to be an effect from an interaction X