Elementary Statistics Final Exam Fall 201 Chi-Square Test of Independence 6. Is

Question

Elementary Statistics Final Exam Fall 201 Chi-Square Test of Independence 6. Is there a relatlonshlp between Income category and the frection of temities with mere ta two chlldren? Use the following data: Number of Salary under Salary betwean |Salarye veron Children Two or less More than 268 total S10 000 525 000 less 13 28 21 Mor 11 105 50 79 30 1s there a relationship between income category and the fraction of famililies with more two children? State the null and alternative 4 points State the observed values State the expected values. Give a conclusion t 4 points 4 points 7. The ages and weights of guests at a wedding are given below 8, 30 age 23, weights 110) 120, 132)138 140, 145 Use regression analysis to look at the relationshlp between the ages andv Question a) Make a scatter diagram b) Give The correlation coefficient. c) Give The regression equation. Points 2 points 4points 4 points d) Draw the regression line on the scatter diagram. 4 points e) Predict the weight of a 26 year old teenager. 2 points 4 points Predict the age of a guest who welghs 35.points

Explanation / Answer

Question 6

Hypothesises are

H0 : There is no relationship between income category and fraction of family have with more than 2 children.

Ha :There is significant relationship between income category and fraction of famly have more than 2 children.

Observed values

Expected table

i.e for < 2 children and for < $ 10000 = Total < 2 children people * total< $ 10000 people/ Total people = 45 * 79/150 = 23.7

Chi - square table X2 = (E - O)2/E

X2 = 32.6362

so here dF = 2 and alpha = 0.05

X2critical = 5.99

so here X2 > X2critical so we can conclude that There is significant relationship between income category and fraction of famly have more than 2 children.

Children < $ 10000 $ 10000 - $ 25000 > $ 25000 total < 2 11 13 21 45 2 + 68 28 9 105 Total 79 41 30 150

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

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