QUESTIONS WITH COMPLETE
SOLUTIONS
What is the main difference between parametric and nonparametric tests? -
ANSWERParametric tests make assumptions based on normal distributions, whereas
nonparametric tests make no assumptions about the population parameters being used.
True or False: Nominal variables are described using measures of central tendency,
such as the mean or median. - ANSWERFalse; Nominal variables are described by the
frequency in each category of a variable.
If the categorization of a nominal variable were based on random chance, what would
the frequency distribution look like for that variable? - ANSWERThe frequencies of all
levels of the variable would be equal.
The ________ test is used when analyzing one nominal variable, whereas the _______
test is used when analyzing the relationship between two nominal variables. -
ANSWERgoodness of fit; test for independence
True or False: The steps for hypothesis testing with chi-square tests are different than
those for parametric tests. - ANSWERFalse; The same four steps are used in
hypothesis testing with chi-square tests.
A study investigating cell phone brand preference recruits 500 participants and asks
each participant for their preference of 4 choices of cell phones. What would the
expected frequency be for each category? What is the df? - ANSWER125 (500/4 =125);
df = 3
The null hypothesis for a goodness of fit test states what? - ANSWERAll frequencies of
a particular variable are equal.
The null hypothesis for a test for independence states what? - ANSWERThe two
variables are independent of one another.
Which of the following is NOT one of the assumptions made in a chi-square test? -
ANSWERThe expected frequency for each category must be at least 5.
In a goodness of fit test, if the null hypothesis is not rejected, then differences between
the observed and expected frequencies are most likely due to ________. -
ANSWERSampling Error