STATISTICS FINAL PAPER MULTIPLE
CHOICE QUESTIONS AND SOLUTIONS
100 PERCENT CORRECT
◉ Which of the following accurately describes the chi-square
distribution?
Answer: positively skewed with all values greater than or equal to
zero
◉ What conclusion is appropriate if a chi-square test produces a
chi-square statistic near zero?
Answer: there is a good fit between the sample data and the null
hypothesis
◉ Which of the following accurately describes the observed
frequencies for a chi-square test?
Answer: they are always whole numbers
◉ What is referred to by the term observed frequencies?
Answer: the frequencies found in the sample data
◉ Ten years ago, only 20% of the U.S. population consisted of
people more than 65 years old. A researcher plans to use a sample
of n = 200 people to determine whether the population
distribution has changed during the past ten years. If a chi-square
, test is used to evaluate the data, what is the expected frequency
for the older-than-65 category?
Answer: 40
◉ A sample of 100 people is classified by gender (male/female)
and by whether or not they are registered voters. The sample
consists of 80 females and 20 males, and has a total of 60
registered voters. If these data were used for a chi-square test for
independence, what is the expected frequency for males who are
registered voters?
Answer: 12
◉ A researcher obtains a negative value for chi-square statistic.
What can you conclude because the value is negative?
Answer: The researcher made a mistake; the value of chi-square
cannot be negative
◉ A chi-square test for goodness of fit is used to examine the
distribution of individuals across four categories, and a chi-square
test for independence is used to examine the distribution of
individuals across the six categories in a 2´3 matrix of categories.
Which test has the larger value for df?
Answer: The test for goodness of fit
◉ A researcher is using a chi-square test to determine whether
people have any preferences among three brands of televisions.
The null hypothesis for this test would state that______
CHOICE QUESTIONS AND SOLUTIONS
100 PERCENT CORRECT
◉ Which of the following accurately describes the chi-square
distribution?
Answer: positively skewed with all values greater than or equal to
zero
◉ What conclusion is appropriate if a chi-square test produces a
chi-square statistic near zero?
Answer: there is a good fit between the sample data and the null
hypothesis
◉ Which of the following accurately describes the observed
frequencies for a chi-square test?
Answer: they are always whole numbers
◉ What is referred to by the term observed frequencies?
Answer: the frequencies found in the sample data
◉ Ten years ago, only 20% of the U.S. population consisted of
people more than 65 years old. A researcher plans to use a sample
of n = 200 people to determine whether the population
distribution has changed during the past ten years. If a chi-square
, test is used to evaluate the data, what is the expected frequency
for the older-than-65 category?
Answer: 40
◉ A sample of 100 people is classified by gender (male/female)
and by whether or not they are registered voters. The sample
consists of 80 females and 20 males, and has a total of 60
registered voters. If these data were used for a chi-square test for
independence, what is the expected frequency for males who are
registered voters?
Answer: 12
◉ A researcher obtains a negative value for chi-square statistic.
What can you conclude because the value is negative?
Answer: The researcher made a mistake; the value of chi-square
cannot be negative
◉ A chi-square test for goodness of fit is used to examine the
distribution of individuals across four categories, and a chi-square
test for independence is used to examine the distribution of
individuals across the six categories in a 2´3 matrix of categories.
Which test has the larger value for df?
Answer: The test for goodness of fit
◉ A researcher is using a chi-square test to determine whether
people have any preferences among three brands of televisions.
The null hypothesis for this test would state that______
