Math Problem Statement

The following data are for 30 observations involving two categorical variables, x and y. The categories for x are A, B, and C; the categories for y are 1 and 2. Observation x y 1 A 1 2 B 1 3 B 1 4 C 2 5 B 1 6 C 2 7 B 1 8 C 2 9 A 1 10 B 1 11 A 1 12 B 1 13 C 2 14 C 2 15 C 2

Observation x y 16 B 2 17 C 1 18 B 1 19 C 1 20 B 1 21 C 2 22 B 1 23 C 2 24 A 1 25 B 1 26 C 2 27 C 2 28 A 1 29 B 1 30 B 2 (a) Develop a crosstabulation for the data, with x as the row variable and y as the column variable. y Total 1 2 x A 5

Correct: Your answer is correct. 0

Correct: Your answer is correct. 5

Correct: Your answer is correct. B 11

Correct: Your answer is correct. 2

Correct: Your answer is correct. 13

Correct: Your answer is correct. C 2

Correct: Your answer is correct. 10

Correct: Your answer is correct. 12

Correct: Your answer is correct. Total 18

Correct: Your answer is correct. 12

Correct: Your answer is correct. 30

Correct: Your answer is correct. (b) Compute the row percentages. (Round your answers to one decimal place.) y Total 1 2 x A 100.0

Correct: Your answer is correct. 0.0

Correct: Your answer is correct. 100.0

Correct: Your answer is correct. B 84.6

Correct: Your answer is correct. 15.4

Correct: Your answer is correct. 100.0

Correct: Your answer is correct. C 16.7

Correct: Your answer is correct. 83.3

Correct: Your answer is correct. 100.0

Correct: Your answer is correct. (c) Compute the column percentages. (Round your answers to one decimal place.) y 1 2 x A

Incorrect: Your answer is incorrect. 0.0

Correct: Your answer is correct. B

Incorrect: Your answer is incorrect. 16.7

Correct: Your answer is correct. C

Incorrect: Your answer is incorrect. 83.3

Correct: Your answer is correct. Total 100

Correct: Your answer is correct. 100

Correct: Your answer is correct.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Crosstabulation
Percentages

Formulas

Column Percentage = (cell count / column total) × 100
Row Percentage = (cell count / row total) × 100

Theorems

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Suitable Grade Level

Grades 9-12