PLEASE SHOW ALL THE PROCESS CLEARLY! 2. (Mosteller et al. 2013, Beginning Statis

Question

PLEASE SHOW ALL THE PROCESS CLEARLY!

2. (Mosteller et al. 2013, Beginning Statistics with Data Analysis, Dover, pp. 260-261. Modi fied.) In an investigation of social mobility in Great Britain from one generation to another, occupations were divided into three classes (1-high; 3- low). A sample of 3497 men was randomly selected for the study and assessed according to their own occupations and their fathers' occupations. The results are summarized in the following table. Son's Status Father's Status 123 Total 5883951591142 349 714 4471510 114 320 41845 1051 1429 1017 3497 Total (a) Suppose that we assume that son's occupation is independent of father's occupation Compute the expected values of the nine cells of the table with these marginal totals. (b) Conduct a level-0.05 ?2 test of independence. You are expected to show the null and alternative hypotheses, the value of the test statistics, and P-value to conclude. (c) Reviewing the pattern of observed data and all the expected values, state how the data differ from independence in a couple of sentences

Explanation / Answer

a)

Expected value = row sum * column sum /total

for E11 = 1051 * 1142/3497 = 343.2204

similarly others

b)

null :hypothesis - son's occupation is independent of father's occupation

alternate hypothesis - son's occupation is not independent of father's occupation

df = (r-1)(c-1) = 2*2 = 4

p-value = =CHISQ.DIST.RT(TS,4) = 0.0000

since p-value << 0.05

we reject the null hypothesis and conclude that there is sufficient evidence that son's occupation is not independent of father's occupation

c) we observe that for same occupation of father , the number of sons in same occupation is largest

and vice-versa. it means the the matrix is diagonally dominant.

0i 588 395 159 349 714 447 114 320 411 Ei 343.2205 466.6623 332.1172 453.8204 617.0403 439.1393 253.9591 345.2974 245.7435

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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