Every year a magazine lists the 500 best companies to work for, based on criteri

Question

Every year a magazine lists the 500 best companies to work for, based on criteria such as pay, benefits, turnover rate, and diversity. Of the best 500 companies to work for 195 experienced double digit ob growth (10% 66%) 215 experienced single dgit ob growth (1 % 9%), nd 90 experienced report or a dodre Aclear exam as red the top 100 showed that 32 had job growth in tho double digits, 35 in the single digits, and only 33 had no growth or a decline. Is there anything unusual about job growth among the 100 top companies? Complete parts a through e bolow. a) Select the appropriate procedure. What kind of chi-square test would be appropriate? A. Chi-square test for independence O B. Chi-square test for homogeneity O C. Chi-square test for goodness-of-fi b) Check the assumptions. Are all of the assumptions and conditions satisfed? Select al that apply A. No, because the counted data condition is not satisfied B. Yes, because all of the assumptions and conditions are satisfied. c. No, because the randomization condition is not satisfied. D. No, because the expected col frequency condition is not satisfed

Explanation / Answer

Ans:

a)Chi square test of homogenity.

Option B is correct.

b)Option B is correct.

c)Option B is correct.

d)

df=(2-1)*(3-1)=2

p-value =CHIDIST(11.506,2)=0.0032

As,p-value<0.05,we reject null hypothesis H0.(Option A is correct)

We have sufficient evidence to conclude that distribution of top 500 companies is not same as istribution of top 100 companies. (Option B is correct)

Observed(O) Top 500 Top 100 Total Double digit 195 32 227 single digit 215 35 250 no growth 90 33 123 Total 500 100 600 Expected(E) Top 500 Top 100 Total Double digit 189.17 37.83 227 single digit 208.33 41.67 250 no growth 102.50 20.50 123 Total 500 100 600 (O-E)^2/E Top 500 Top 100 Double digit 0.180 0.899 single digit 0.213 1.067 no growth 1.524 7.622 Total chi square core=11.506

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