Suppose a researcher is conducting a two-way Chi-square test to evaluate the relationship between gender and preference among 4 different designs for a new automobile. Each participant in a sample of 40 men and 40 women selects a favorite design from the 4 choices. If the researcher obtains a calculated value of Chi-square of 7.44, what is the appropriate statistical decision for the test?
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In a two-way Chi-square test, the degrees of freedom (df) can be calculated using the formula: \[ df = (r - 1) \times (c - 1) \] where \( r \) is the number of rows (categories for one variable) and \( c \) is the number of columns (categories for the other Show more…
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