Below is the observed cell frequencies (fij) in the K × 2 table: # Successes # Failures Total Sample 1 Y1 ni – Y1 ni Sample 2 Y2 n2 – Y2 n2 - Sample K YK пк - Үк | Under Ho : Pi = P2 =..PK = Po, it is expected to see the following cell frequencies (eij): # Successes # Failures Total Sample 1 nipo п (1 — ро) Sample 2 n2Po n2(1 – po) n2 Sample K NKPO пк (1 — Ро) NK к 2 K Show that lij- eij)² Cij (Y; – n;po)² Σ паро (1 — ро) i=1 j=1 i=1
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- The following table summarizes the results from a two-factor study with two levels of factor A and four levels of factor B using a separate sample of n=5 participants in each treatment condition. Fill in the missing values. Determine if any of the F-statistics are significant at . Source SS df MS Between Treatments ____ ____ Factor A 20 ____ ____ F=____ Factor B __ ____ 12 F=____ AxB Interaction ____ ____ 6 F=____ Within Treatments 64 ____ ____ Total ____ ____The UWI Open Campus has commissioned a study to determine how student will perform in ECON3080 based on the hours of studying each semester. Students are separated by gender and the results of the study are given below: Males Females Hours Studying ECON3080 Grade Hours Studying ECON3080 Grade 377 92 182 51 280 100 99 41 187 99 44 38 225 62 387 90 157 91 200 75 280 99 331 48 80 32 263 78 374 88 377 93 141 59 297 49 385 72 229 88 238 30 254 80 105 94 347 80 180 53 119 55 288 48 142 67 241 96 293 45 72 57 318 36 314 82 319 94 196 81 60 60 209 79 319 42 306 79 184 81 167 51 193 56 380 44 239 34 389 88 144 49 122 49 97 100 354 76 337 33 327 94 330 78 181 70 157 57 349 66 262 43 117 35…The area head of GLOBE Broadband claims that more than 75 percent of his customers in Metro Manila are satisfied with the services they received. To test this claim, the local newspaper randomly surveyed 400 customers online and found out that 320 customers were satisfied and the remaining were unsatisfied. Test this claim at alpha value of 10% level of significance. The sample proportion is; 75% 80% 85% The population proportion is; 75% 80% 320% The claim of the area head can be expressed in terms of mathematical notation as; Ha : μ ≠ 75% Ha : μ < 75% Ha : μ > 75%