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17 Cards in this Set

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A contingency table is aka:
a two-way frequency table
A contingency table is:
a table in which frequencies correspond to two variables.
In a contingency table, one variable is used to __________, and a second variable is used to ______________.
In a contingency table, one variable is used to categorize rows, and a second variable is used to categorize columns.
What are the two different types of hypothesis tests using contingency tables?
The test of independence and the test of homogeneity.
A test of independence tests:
the null hypothesis that the row and column variables are independent in a contingency table.
A test of homogeneity tests:
the claim that different populations have the same proportions of some characteristics.
When using contingency tables:
O represents:
the observed frequency in a cell of the table.
When using contingency tables:
E represents:
the expected frequency in a cell, found by assuming the row and column variables are independent.
When using contingency tables:
r represents:
the number of rows in a contingency table.
When using contingency tables:
c represents:
the number of columns in a contingency table.
What are the requirements for conducting a hypothesis test for independence using a contingency table?
1) The sample data are randomly selected.
2) The sample data are represented as frequency counts in a two-way table.
3) For every cell in the contingency table, the EXPECTED frequency is at least 5.
What is a contingency table used to test?
Whether the variables in rows are dependent or independent of the variables in columns of a table.
When conducting a hypothesis test for independence using a contingency table, what are:
H₀:
Hₐ:
H₀: The row and column variables are independent.
Hₐ: The row and column variables are dependent.
What is the procedure calculating an independence test of a contingency table on the TI-84?
2nd, matrix, edit, row x column.
stat, test, X²-test.
What distribution is used in the independence test of a contingency table?
the chi-squared distribution.
What is the degrees of freedom for the independence test of a contingency table?
df = (r − 1)(c − 1)
What is the procedure for conducting the independence test of a contingency table?
1) Verify the requirements are met.
2) Determine H₀ & Hₐ.
3) Find X²cr.
4) Find X²test.
5) Find P-v
6) Make statement.