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Is the large counts condition met for determining an association between the shift worked and being on time in the large population of all workers at this warehouse?

A. True
B. False

Answer :

Final answer:

Without specific data, we can't confirm if the large count condition is met, which is necessary for chi-square tests. This condition requires that expected frequencies in each cell of a contingency table are at least 5.

Explanation:

To determine whether the large counts condition is met, we typically need to check if the expected frequency count for each cell of a contingency table is at least 5. The large count's condition is related to performing a chi-square test of independence or goodness of fit, where it is necessary for the expected frequencies to be sufficiently large so that the chi-square distribution can be an appropriate model for the test statistic. Without the specific data on shift work and punctuality, we cannot definitively answer whether the condition is met. However, since the question only asks if the random and 10% conditions are met, and we know that the random condition means the sample was randomly taken and the 10% condition means the sample is less than 10% of the population, these conditions would not directly tell us if the large count's condition is met. The large count condition specifically requires looking at the expected values in the chi-square test.

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