Question

In: Statistics and Probability

A polling institute routinely conducts surveys to gauge the impact of the Internet and technology on...

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.

Solutions

Expert Solution

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

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

The chisquare contribution values are

Oi Ei (Oi-Ei)^2 /Ei
6 6.03 0.0001
9 17.907 4.4304
10 7.492 0.8396
11 11.146 0.0019
19 12.425 3.4793
21 12.718 5.3933
29 37.767 2.0351
16 15.8 0.0025
20 23.51 0.524
30 26.21 0.548
6 14.252 4.778
60 42.326 7.3801
15 17.708 0.4141
30 26.346 0.5068
19 29.369 3.6609
Total: 33.9941

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

orchestra answered 1 year ago
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