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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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.
Transcribed Image Text: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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