A random sample of 78 sophomores as well as a random sample of 162 non-sophomores are taken. In this group of 240 college students, 43 are science majors and 35 are sophomore science majors. A) Complete the two-way table based on these frequencies. B) Let p₁ and p₂ be the probabilities that a student is a science major for sophomore and not sophomore, respectively. Consider the null hypothesis H₀: p₁ = p₂. Conduct a X² test of the null hypothesis. Use $\alpha$=0.05.

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The Answer of A random sample of 78 sophomores as well as a random sample of 162 non-sophomores are taken. In this group of 240 college students, 43 are science majors and 35 are sophomore science majors. A) Complete the two-way table based on these frequencies. B) Let p₁ and p₂ be the probabilities that a student is a science major for sophomore and not sophomore, respectively. Consider the null hypothesis H₀: p₁ = p₂. Conduct a X² test of the null hypothesis. Use $\alpha$=0.05.

A Random Sample of 78 Sophomores as Well as a Random