Research to test if “proficiency tests” are influenced by the education of the child’s parents was done in Paarl, a Semi Urban area in the Western Cape. A random sample of 6-year-old children was drawn. Each child’s test score and the educational level of the parent with their highest level of education were recorded. The educational categories are: Less than High School; High School Graduate; Some University; and University Graduate. The data are as follows: Less than High School (198; 234; 207; 181; 223; 195; 209). High School Graduate (224; 209; 221; 221; 228; 165; 168). Some University (230; 223; 227; 265; 219; 222; 228). University Graduate (248; 255; 196; 193; 180; 252; 214). The Sums of Squares are also given as follows: SST = 3005.5357; SSE = 13719.4286; and TSS = 16724.9643. State the correct hypotheses.
Research to test if “proficiency tests” are influenced by the education of the child’s parents was done in Paarl, a Semi Urban area in the Western Cape. A random sample of 6-year-old children was drawn. Each child’s test score and the educational level of the parent with their highest level of education were recorded. The educational categories are: Less than High School; High School Graduate; Some University; and University Graduate. The data are as follows: Less than High School (198; 234; 207; 181; 223; 195; 209). High School Graduate (224; 209; 221; 221; 228; 165; 168). Some University (230; 223; 227; 265; 219; 222; 228). University Graduate (248; 255; 196; 193; 180; 252; 214). The Sums of Squares are also given as follows: SST = 3005.5357; SSE = 13719.4286; and TSS = 16724.9643. State the correct hypotheses.
A. Ho: At least 2 of the means differ vs H1: μ1 = μ2 = μ3 = μ4
B. H0: μ1 = μ2 = μ3 = μ4 vs H1: At least 2 of the means differ
C. H1: μ1 = μ2 = μ3 = μ4 vs Ho: At least 2 of the means differ
D. Ho: μ1 ≠ μ2 ≠μ3 ≠ μ4 vs H1: μ1 = μ2 = μ3 = μ4
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