6. A simple random sample of 1,000 United States adults was collected to investigate whether gender and being a coffee drinker are independent. The results are summarized in the table with the expected counts shown in parentheses. Coffee Drinker? Yes No Total Male 191 (148.5) 299 (341.5) 490 Gender Female 112 (154.5) 398 (355.5) 510 Total 303 697 1,000 Which statement is true about whether the conditions for the chi-square test for independence have been met? All necessary conditions are satisfied to apply a chi-square test for independence between gender and being a coffee drinker. The data is not the result of two independent random samples; therefore, the conditions for applying the chi- square test for independence between gender and being a coffee drinker are not met. Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test (c) for independence between gender and being a coffee drinker. Not all of the observed cell counts are large enough to satisfy the conditions for applying the chi-square test for independence between gender and being a coffee drinker. The total sample size is not at least 10 percent of the population of United States adults; therefore, the E) conditions for applying the chi-square test for independence between gender and being a coffee drinker are not met

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.