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.
Which statement is true about whether the conditions for the chi-square test for independence have been met?
a. All necessary conditions are satisfied to apply a chi-square test for independence between gender and being a coffee drinker.
b. 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.
c. Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test for independence between gender and being a coffee drinker.
d. 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.
e. The total sample size is not at least 10 percent of the population of United States adults; therefore, the conditions for applying the chi-square test for independence between gender and being a coffee drinker are not met.