A newspaper reported on preferred types of office communication by different age

Question

A newspaper reported on preferred types of office communication by different age groups. Suppose the results were based on a survey of 500 respondents in each age group. The results are cross-classified in the table found below. At the 0.10 level of significance, is there evidence of a relationship between age group and type of communication preferred?

TYPE OF COMMUNICATION

Face to Face

meeting with Individuals

Calculate the test statistic.

X2STAT=_______________________(Round to three decimal places as needed.)

The p-value for X2STAT __________________

(Round to four decimal places as needed.)

State the conclusion.

Since the p-value is (1)____________________than the level of significance, (2)___________________ the null hypothesis and conclude that there is (3)_______________________ significant relationship.

(1) less, greater

(2) reject, do not reject

(3) a, no

AGE GROUP Group Meeting

Face to Face

meeting with Individuals

E-mails Other Total Generation Y 195 230 55 20 500 Generation X 205 165 75 55 500 Boomer 225 170 70 35 500 Mature 180 250 35 35 500 Total 805 815 235 145 2,000

Explanation / Answer

from above

X2STAT=65.709

The p-value for X2STAT =0.0000

conclusion

1)less

2)reject

3)a

Observed O y X boomer mutual Total group meet 195 205 225 180 805 face 2 face 230 165 170 250 815 E-mails 55 75 70 35 235 other 20 55 35 35 145 Total 500 500 500 500 2000 Expected E=rowtotal*column total/grand total y X boomer mutual Total group meet 201.250 201.250 201.250 201.250 805 face 2 face 203.750 203.750 203.750 203.750 815 E-mails 58.750 58.750 58.750 58.750 235 other 36.250 36.250 36.250 36.250 145 Total 500 500 500 500 2000 chi square =(O-E)^2/E y X boomer mutual Total group meet 0.194 0.070 2.803 2.244 5.311 face 2 face 3.382 7.370 5.590 10.498 26.840 E-mails 0.239 4.495 2.154 9.601 16.489 other 7.284 9.698 0.043 0.043 17.069 Total 11.100 21.632 10.591 22.386 65.709

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