In: Statistics and Probability
A newspaper publisher trying to pinpoint his market's characteristics wondered whther the way people read a newspaper is reated to the reader's educational level. A survey asked adult readers which section of the paper they read first and asked to report their highest educational level. These data were recorded (column 1 = First section read where 1 = Front page, 2=sports, 3=educational level where 1 = did not complete high school, 2 = High school graduate, 3 = university or college graduate, and 4 = postgraduate degree). What do these data tell the publisher about how educational level affects the way adults read the newspaper?? Can I see this performed in excel or steps to do so?
Section | Education |
4 | 2 |
2 | 2 |
4 | 2 |
4 | 3 |
4 | 2 |
1 | 4 |
1 | 3 |
1 | 2 |
4 | 1 |
2 | 2 |
2 | 3 |
4 | 3 |
2 | 2 |
4 | 1 |
2 | 3 |
3 | 3 |
4 | 3 |
1 | 3 |
3 | 3 |
4 | 2 |
1 | 4 |
2 | 4 |
1 | 2 |
2 | 2 |
1 | 2 |
2 | 1 |
2 | 2 |
3 | 3 |
1 | 4 |
3 | 3 |
1 | 2 |
1 | 4 |
2 | 4 |
3 | 3 |
4 | 2 |
3 | 3 |
1 | 4 |
1 | 2 |
2 | 2 |
2 | 3 |
1 | 3 |
2 | 1 |
3 | 3 |
4 | 2 |
3 | 3 |
4 | 2 |
2 | 2 |
1 | 4 |
4 | 2 |
3 | 3 |
1 | 2 |
2 | 2 |
4 | 2 |
3 | 2 |
3 | 3 |
2 | 2 |
2 | 3 |
3 | 4 |
4 | 2 |
4 | 2 |
2 | 3 |
1 | 3 |
3 | 3 |
4 | 1 |
3 | 3 |
2 | 1 |
4 | 2 |
1 | 3 |
1 | 3 |
4 | 1 |
2 | 1 |
2 | 1 |
3 | 2 |
3 | 2 |
2 | 1 |
3 | 3 |
3 | 4 |
1 | 4 |
4 | 2 |
4 | 2 |
1 | 3 |
4 | 3 |
4 | 3 |
4 | 2 |
1 | 3 |
1 | 3 |
2 | 1 |
2 | 1 |
1 | 3 |
3 | 4 |
4 | 2 |
2 | 1 |
3 | 3 |
2 | 1 |
4 | 2 |
4 | 2 |
2 | 2 |
4 | 2 |
4 | 2 |
2 | 2 |
3 | 3 |
2 | 2 |
2 | 1 |
1 | 3 |
1 | 4 |
1 | 2 |
3 | 2 |
3 | 3 |
2 | 2 |
3 | 2 |
4 | 3 |
4 | 2 |
4 | 3 |
3 | 2 |
1 | 3 |
3 | 2 |
4 | 3 |
1 | 2 |
4 | 2 |
1 | 2 |
4 | 2 |
4 | 1 |
2 | 1 |
3 | 4 |
2 | 2 |
1 | 3 |
1 | 3 |
2 | 1 |
2 | 1 |
2 | 1 |
1 | 3 |
3 | 4 |
2 | 3 |
3 | 4 |
1 | 1 |
2 | 3 |
1 | 1 |
3 | 3 |
1 | 4 |
3 | 2 |
4 | 2 |
4 | 3 |
3 | 4 |
3 | 4 |
4 | 3 |
4 | 2 |
3 | 4 |
3 | 3 |
3 | 3 |
2 | 2 |
4 | 2 |
3 | 2 |
4 | 4 |
4 | 1 |
1 | 3 |
1 | 3 |
4 | 3 |
2 | 2 |
4 | 3 |
1 | 4 |
3 | 2 |
3 | 3 |
3 | 3 |
3 | 3 |
3 | 4 |
2 | 1 |
2 | 1 |
2 | 1 |
2 | 3 |
4 | 1 |
2 | 1 |
1 | 2 |
2 | 3 |
2 | 1 |
3 | 3 |
2 | 2 |
3 | 3 |
3 | 4 |
3 | 2 |
3 | 4 |
3 | 3 |
3 | 3 |
2 | 3 |
3 | 2 |
2 | 3 |
3 | 3 |
4 | 2 |
3 | 2 |
1 | 4 |
2 | 1 |
3 | 4 |
3 | 2 |
3 | 2 |
2 | 2 |
1 | 3 |
4 | 2 |
1 | 3 |
3 | 3 |
1 | 2 |
2 | 2 |
1 | 3 |
3 | 4 |
4 | 2 |
4 | 2 |
1 | 3 |
3 | 4 |
4 | 3 |
4 | 3 |
1 | 2 |
4 | 3 |
4 | 2 |
3 | 4 |
4 | 3 |
3 | 3 |
1 | 4 |
3 | 4 |
1 | 4 |
1 | 2 |
3 | 3 |
3 | 2 |
2 | 2 |
4 | 2 |
4 | 4 |
4 | 2 |
4 | 2 |
2 | 1 |
2 | 2 |
2 | 1 |
2 | 2 |
2 | 2 |
4 | 1 |
3 | 3 |
1 | 3 |
1 | 1 |
3 | 3 |
3 | 3 |
2 | 2 |
1 | 2 |
3 | 3 |
3 | 4 |
4 | 4 |
1 | 3 |
3 | 4 |
2 | 2 |
4 | 1 |
4 | 2 |
2 | 3 |
1 | 2 |
1 | 2 |
3 | 3 |
4 | 2 |
3 | 3 |
2 | 3 |
2 | 3 |
1 | 3 |
3 | 2 |
1 | 3 |
3 | 1 |
2 | 1 |
1 | 3 |
1 | 2 |
4 | 3 |
1 | 2 |
4 | 2 |
2 | 3 |
3 | 3 |
4 | 2 |
1 | 3 |
4 | 3 |
3 | 4 |
4 | 2 |
3 | 2 |
2 | 2 |
4 | 1 |
4 | 3 |
4 | 3 |
2 | 2 |
1 | 2 |
2 | 2 |
1 | 3 |
1 | 1 |
3 | 3 |
2 | 2 |
4 | 2 |
2 | 1 |
3 | 4 |
4 | 3 |
3 | 3 |
3 | 3 |
2 | 2 |
4 | 2 |
2 | 3 |
3 | 4 |
1 | 3 |
3 | 3 |
2 | 3 |
3 | 3 |
1 | 3 |
2 | 2 |
1 | 3 |
3 | 2 |
2 | 1 |
4 | 3 |
4 | 2 |
3 | 2 |
1 | 2 |
2 | 2 |
1 | 4 |
4 | 2 |
2 | 1 |
1 | 2 |
2 | 3 |
4 | 2 |
The hypothesis to be tested is:
H0: The educational level does not affect the way adults read the newspaper
H1: The educational level affects the way adults read the newspaper
The test statistics is defied as follows:
Where e is the expected frequency value and f is the observed frequency.
Alpha = 0.05
Using EXCEL Add in > Real statistics > Data Analysis Tools > Misc > Chi-square test for independence
Input: Select both the columns
Input format: Standard format
ok
OUTPUT:
Chi-square summary data | ||||||
Education | ||||||
1 | 2 | 3 | 4 | |||
Section | 1 | 4 | 21 | 31 | 14 | 70 |
2 | 27 | 32 | 18 | 2 | 79 | |
3 | 1 | 20 | 42 | 22 | 85 | |
4 | 10 | 44 | 22 | 3 | 79 | |
42 | 117 | 113 | 41 | 313 |
Expected Values | |||||
1 | 2 | 3 | 4 | Total | |
1 | 9.392971 | 26.16613 | 25.27157 | 9.169329 | 70 |
2 | 10.60064 | 29.53035 | 28.52077 | 10.34824 | 79 |
3 | 11.40575 | 31.77316 | 30.6869 | 11.13419 | 85 |
4 | 10.60064 | 29.53035 | 28.52077 | 10.34824 | 79 |
Total | 42 | 117 | 113 | 41 | 313 |
Chi-Square Test | |||||
SUMMARY | Alpha | 0.05 | |||
Count | Rows | Cols | df | ||
313 | 4 | 4 | 9 | ||
CHI-SQUARE | |||||
chi-sq | p-value | x-crit | sig | Cramer V | |
Pearson's | 86.61541 | 7.76E-15 | 16.91898 | yes | 0.303714 |
Max likelihood | 88.94883 | 2.65E-15 | 16.91898 | yes | 0.307778 |
Since chi-square test is significant with p=value of 7.76E-15 and chi-square value of 86.61541. We can reject the null hypothesis and accept the alternate hypothesis that the education level affects the way adults read the newspaper.
Please like the solution if it helps you. Thanks you