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1 markPaper 1 · Multiple choiceChi-Square Test

CAPE Applied Mathematics Unit 1 · 2017 · Paper 1 · Question Q32

Items 31--32 refer to the following contingency table which shows the observed results used to investigate whether the variables X and Y are independent. \begin{tabular}{|c|c|c|c|} \hline & X_1 & X_2 & X_3 \\ \hline Y_1 & 43 & 26 & 54 \\ Y_2 & 15 & 10 & 17 \\ Y_3 & 18 & 22 & 20 \\ \hline \end{tabular} The expected value of the cell which contains the number, 15, (Y_2, X_1), to the NEAREST whole number is

  1. (A)5
  2. (B)14
  3. (C)25
  4. (D)42

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  1. Q31Items 31--32 refer to the following contingency table which shows the observed results used to investigate whether the variables X and Y are independent.…[1 mark]

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