Question

Refer to the following. In a random sample of 525 teenagers, eye colors are cross-classified with favorite colors from among green, red, blue, and purple. Below is a two-way table of the responses. What is the degrees of freedom, $d f$, for the chi-square test on these data? (A) 4 (B) 5 (C) 16 (D) 24 (E) 25

Name: Problem 7, Chapter 8: AP Statistics with 6 Practice Tests
Uploaded: 2021-06-19T14:55:26-08:00
Duration: 1 min 32 s
Channel: Meredith Kempson
Description: Refer to the following. In a random sample of 525 teenagers, eye colors are cross-classified with favorite colors from among green, red, blue, and purple. Below is a two-way table of the responses. What is the degrees of freedom, d f, for the chi-square test on these data? (A) 4 (B) 5 (C) 16 (D) 24 (E) 25

   Refer to the following. In a random sample of 525 teenagers, eye colors are cross-classified with favorite colors from among green, red, blue, and purple. Below is a two-way table of the responses.
What is the degrees of freedom, $d f$, for the chi-square test on these data?
(A) 4
(B) 5
(C) 16
(D) 24
(E) 25

AP Statistics with 6 Practice Tests

Martin Sternstein 11th Edition

Chapter 8, Problem 7

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Solved by Expert Meredith Kempson

06/19/2021

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Refer to the following. In a random sample of 525 teenagers, eye colors are cross-classified with favorite colors from among green, red, blue, and purple. Below is a two-way table of the responses. What is the degrees of freedom, $d f$, for the chi-square test on these data? (A) 4 (B) 5 (C) 16 (D) 24 (E) 25

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Key Concepts

Contingency Table

A contingency table is a type of table in a matrix format that displays the frequency distribution of variables. It is often used to analyze the relationship between two categorical variables by showing the cross-tabulation of data.

Chi-Square Test

The chi-square test is a statistical method used to determine if there is a significant association between categorical variables. It compares the observed frequencies from the data to the frequencies expected under the assumption of no association, helping assess the independence of variables.

Degrees of Freedom

Degrees of freedom in a chi-square test refer to the number of independent comparisons that can be made in the data. For a two-way table, this is calculated by subtracting one from the number of rows and one from the number of columns, and then multiplying these differences. This concept helps determine the critical value from the chi-square distribution needed to evaluate the test statistic.

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