Question

Use the technology​ display, which results from measures of​ self-esteem listed in the table below. The data are from a project to study how levels of​ self-esteem in subjects relate to their perceived​ 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. Assume that​ self-esteem measurements are not affected by an interaction between subject​ self-esteem and target​ self-esteem. Is there sufficient evidence to support the claim that the​ self-esteem of the subject​ (low, medium,​ high) has an effect on the measurements of​ self-esteem? Use a

0.050.05

significance level to test the given claim.

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Click to view the data table and technology display.

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Upper H 0H0.

There

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sufficient evidence to warrant rejection of the claim that the​ self-esteem of the subject​ (low, medium,​ high) has an effect on the measurements of​ self-esteem. There

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appear to be an effect from an interaction between the​ self-esteem of the subject​ (low, medium,​ high) and the measurements of​ self-esteem.

Click to select your answer(s).

Data Table

		​Subject's self-esteem
		Low		Medium		High
​Target's self-esteem	Low	33	33	55	44	33	11
		44	44	22	44	22	22
		33	33	22	33	22	44
		44	33	22	55	33	55
		55	33	22	44	33	22
		33	22	55	44	33	33
	High	22	22	44	33	33	22
		44	22	11	22	33	22
		22	33	11	33	33	44
		22	44	22	44	33	44
		22	22	33	11	44	33
		22	33	11	44	33	44

​Source:	​DF:	​SS:	​MS:	Test​ Stat, F:	Critical​ F:	​P-value:
​Interaction:	2	7.75007.7500	3.87503.8750	3.90463.9046	3.1359	0.02500.0250
Row​ Variable:	1	4.50004.5000	4.50004.5000	4.53444.5344	3.9863	0.03700.0370
Column​ Variable:	2	0.02780.0278	0.01390.0139	0.01400.0140	3.1359	0.98610.9861

Answer 1