10.3 Chi-square Test for Independence

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13 Terms

1
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binomial data: What is a chi-square test of independence?

A hypothesis test for two columns of binomial data.

2
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binomial data: Select all parts of the Step A: Abstract for a chi-square test of independence?

(50%) Collect the counts of the data values of the two variables.
(50%) Arrange in a 2x2 table and calculate the table totals.

3
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binomial data: In Step A: Abstract for a chi-square test of independence, what are the final steps to complete the 2x2 table of descriptive statistics?

(50%) Calculate the Row Totals.
(50%) Calculate the Column totals.

4
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binomial data: In Step A: Abstract for a chi-square test of independence, what are the two hypotheses?

(50%) H(0): Variables are independent.
(50%) H(1): Variables are dependent.

5
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binomial data: In Step 1: Theorize for a chi-square test of independence, what are the shapes of the chi-square distributions?

(50%) The curve is uni-modal.
(50%) The curve is skewed to the right.

6
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binomial data: In Step 1: Theorize for a chi-square test of independence, how many tail(s) situation is this?

(100%) One-tail to the right situation.

7
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binomial data: Select all parts of the Step 2: Analyze for a chi-square test of independence?

(50%) Calculate each cell's expected frequency.
(50%) Calculate the value of the chi-square test statistic.

8
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binomial data: In Step 2: Analyze for a chi-square test of independence, what are the expected frequencies?

The theoretical count in each cell if the variables are independent

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binomial data: What is the difference between a descriptive 2x2 table of counts, and a contingency table?

A contingency table shows the expected frequencies in each cell.

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binomial data: In a chi-square test of independence, what is the p-value?

The area in one tail of the chi-square curve from the test statistic to infinity.

11
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binomial data: In a chi-square test of independence, using the information shown below, are these two variables independent?

These variables are dependent, because p-value = 0.005.

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binomial data: In a chi-square test of independence, using the information shown below, are these two variables independent?

These variables are independent, because p-value = 0.3155.

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binomial data: In a chi-square test of independence, using the information shown below, is being overweight related to eating fast food?

Yes, being overweight and eating fast food are related, because p-value = 0.0323.