[See Steps] The cross-tabulation table below reveals some characteristics for the population. For example, of the 19 persons, 63% are Male, and 74% are


Question: The cross-tabulation table below reveals some characteristics for the population. For example, of the 19 persons, 63% are Male, and 74% are married.

Gender
Married F M Total %
N 3 2 5 26%
Y 4 10 14 74%
Total 7 12 19
% 37% 63% 100%

Compute from these data the following conditional probabilities for a person drawn at random from this population:

  1. Probability that a Female person is married:
  2. Probability that a Married person is Male:
  3. Assume that the ‘Chi-Squared’ statistic computed for this 2-by-2 table is 1.56.
    What does this imply about the reliability of this evidence which suggests a relationship between Marital Status and Gender in the population from which these 19 persons are a representative sample?
  4. What if the same proportional results were based on a sample ten-times larger; that is of 190 persons of which 40 were Married Females, etc.? How would the Chi-Squared test of statistical significance be different?

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