Victoria is doing a chi-square test to see if the state people are born in is co

Question

Victoria is doing a chi-square test to see if the state people are born in is correlated with their favorite color. Forty people like yellow, sixty people like green, fifteen people like red, and people also like blue, orange, and purple. 20% of the people are from Arizona, 30% or the people are from California, 40% of the people are from New Mexico, and 10% of the people are from Nevada.

1) There are 25 people who are from New Mexico and like red. What is the expected frequency for the number of people from New Mexico who like red?

2) There are 5 people who are from New Mexico and like red. What is the expected frequency for the number of people from New Mexico who like red?

Explanation / Answer

Yellow=40

Green = 60

Red = 15

There are other colors also.

(1) Expected people who are from New mexico and like red = Total number of new mexico people * Total number of people who like red/ Total number of people = (Total number of new maxico people/Total number of people) * total number of people who like red

= 0.4 * 15 = 6

(2) Here expected frequenecy will be the same as 6 as in the previous question as expected frequency is indendent of oberved frequency.

Related Questions

Navigate

• Browse (All)
• Browse V
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.