A polling institute routinely conducts surveys to gauge the impact of the Intern
ID: 3369617 • Letter: A
Question
A polling institute routinely conducts surveys to gauge the impact of the Internet and technology on daily life. A recent survey asked respondents if they read online journals or? blogs, an Internet activity of potential interest to many businesses. A subset of the data from this survey shows responses to this question. Test whether reading online journals or blogs is independent of generation. Use a significance level of
alpha?equals=0.05.
Read Online Journal or Blog
?Yes, Yesterday
?Yes, But Not Yesterday
No
Total
Generation
?Gen-Y (18-30)
2828
3838
6868
134134
?Gen-X (31-42)
1313
3535
133133
181181
Trailing Boomers?(43-52)
1414
3535
143143
192192
Leading Boomers?(53-61)
55
2424
8686
115115
Matures? (62+)
66
2121
111111
138138
Total
6666
153153
541541
760760
PrintDone
Compute the chi squared ?2 test statistic.
Read Online Journal or Blog
?Yes, Yesterday
?Yes, But Not Yesterday
No
Total
Generation
?Gen-Y (18-30)
2828
3838
6868
134134
?Gen-X (31-42)
1313
3535
133133
181181
Trailing Boomers?(43-52)
1414
3535
143143
192192
Leading Boomers?(53-61)
55
2424
8686
115115
Matures? (62+)
66
2121
111111
138138
Total
6666
153153
541541
760760
Explanation / Answer
H0: Reading online journals or blogs is independent of generation
H1: Reading online journals or blogs is not independent of generation
Let the los be alpha = 5%
The expected frequencies are
The chisquare contribution values are
Degrees of freedom: 8
Test Statistic, X^2: 33.996
Critical X^2: 15.5073
P-Value: 0.0000
Here chisquare value > Chsiquare critical value and P-value < alpha 0.05 so we reject H0
Thus ew conclude that Reading online journals or blogs is not independent of generation
Yes, Yesterday Yes, but not yesterday No Total Gen Y 6.03 12.718 14.252 33 Gen X 17.907 37.767 42.326 98 Trailing Boomers 7.492 15.8 17.708 41 Leading Boomers 11.146 23.51 26.346 61.002 Maturers 12.425 26.21 29.369 68.004 Total 55 116.005 130.001 301.006