Question

Collette wanted to know if there was a difference in favorite food types among students at her large high school. She took a random sample of students from her school and asked them to name their favorite food type. Of those surveyed, 29 preferred American, 16 preferred Chinese, 19 preferred Mexican, and 28 preferred Italian. Which of the following is the chi-square test statistic?
a. (29 - 23)2/23 + (16 - 23)2/23 + (19 - 23)2/23 + (28-23)2/23.
b. (29 - 23)2/23 - (16 - 23)2/23 - (19 - 23)2/23 - (28 - 23)2/23.
c. (29 + 23)2/23 + (16 + 23)2/23 + (19 + 23)2/23 + (28+23)2/23.
d. (29 - 23)2/92 + (16 - 23)2/92 + (19 - 23)2/92 (28-23)2/92.
e. (29 + 23)2/92 + (16 + 23)2/92 + (19 - 23)2/92 + (28-23)2/92.

Answer 1

Answer:

(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Step-by-step explanation:

Given :

n(American) = 29

n(Chinese) = 16

n(Mexican) = 19

n(Italian) = 28

Expected value = (29 + 16 + 19 + 28) / 4

Where, 4 = sample size

Expected value, E = 23

χ² = (Observed value - Expected value)² / expected value

χ² = (29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23