We have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 to be satisfied.

six and seven

Procedure 12.2 

Purpose To perform a hypothesis test to decide whether two variables with are associated Assumptions

1. All expected frequencies are 1 or greater

2. At most 20% of the expected frequencies are less than 5

3. Simple random sample

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Step 1 The null and alternative hypotheses are, respectively, Ho: The two variables are not associated H₂: The two variables are associated. Step 2 Decide on the significance level, a. Step 3 Compute the value of the test statistic x² = Σ(O - E)²/E,