Question

Why is it reasonable to conduct a test of independence for two variables even though one of the variables is a grouping variable?

Answer #1

A chi-square test for independence is being used to evaluate the
relationship between two variables. If the test has df = 3, what
can you conclude about the two variables?
One variable consists of 2 categories and the other consists of
3 categories
One variable consists of 2 categories and the other consists of
4 categories
Both variables consists of 2 categories
Both variables consists of 3 categories

Given the following contingency table, conduct a test for
independence at the 1% significance level. (You may find it
useful to reference the appropriate table: chi-square table or F
table)
Variable A
Variable B
1
2
1
38
43
2
32
62
a. Choose the null and alternative hypotheses.
H0: The two variables are independent.;
HA: The two variables are dependent.
H0: The two variables are dependent.;
HA: The two variables are independent.
b. Calculate the value of the test...

Suppose you are conducting a test of independence for two
categorical variables in a contingency table
(cross-tabulation) consisting of three rows. If the critical value
at the 1% level of significance is 23.209.
How many columns were in the contingency table?

Given the following contingency table, conduct a test for
independence at the 1% significance level. (You may find it useful
to reference the appropriate table: chi-square table or F
table)
Variable A
Variable B
1
2
1
33
50
2
45
50
b. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and final answer to 3 decimal places.)

1. Suppose that you have two categorical variables. The first
variables has 3 levels and the second variable has 5 levels.
Determine the degrees of freedom for the chi-square test for
independence for these variables....
2. Suppose that you have two categorical variables. The first
variables has 4 levels and the second variable has 5 levels.
Determine the number of cells for the chi-square test for
independence for these variables....

create an example to which the chi-square test of independence
could be applied. Address the following:
Identify two categorical variables for which a chi-square test
of independence could be conducted.
Describe the categories of each.
Explain why these would be appropriate for this test.
Predict whether or not the chi-square test result would be
significant, and what this would imply about the variables.

Even though ANOVA is comparing means of different groups, we use
the F to test our hypotheses. So why do we do this?

1. Type 1 error is:
a. the probability of rejecting the alternative hypothesis even
though it is true.
b. the probability of accepting the alternative hypothesis even
though it is false.
c. the probability of rejecting the null hypothesis even though
it is true.
d. the probability of accepting the null hypothesis even though
it is false.
2.
Conclusions about population parameters made from confidence
intervals (CI) and hypothesis tests (HT) are the same when they use
the same a...

Even though an explanatory variable may be a significant
predictor for Y when used alone, it may not be useful in a
multiple regression model containing other explanatory
variables.
True or false?

Which statement explains why correlation could be 0 even if a
strong relationship between two variables existed?
Group of answer choices
Since the correlation is 0, there is no strong relationship
between the two variables; and a scatterplot would be
misleading.
Correlation can be 0 even if there is a strong linear
relationship between the variables.
Correlation only measures the strength of the relationship
between two variables when the units of the two variables are the
same.
Correlation does not...

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