The number of men and women among professors two academic areas (Science or Humanities) from a simple random sample of small colleges were counted, and the results are shown in the table below.   Science Humanities Men 28 32 Women 12 28 Use the ?=0.01α=0.01 level of significance to determine whether or not the relationship between sex and academic area is statistically significant. (a) ?2=χ2=  (b) Magic number =

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The number of men and women among professors two academic areas (Science or Humanities) from a simple random sample of small colleges were counted, and the results are shown in the table below.

  Science Humanities
Men 28 32
Women 12 28

Use the ?=0.01α=0.01 level of significance to determine whether or not the relationship between sex and academic area is statistically significant.

(a) ?2=χ2= 

(b) Magic number = 

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