Question

In: Statistics and Probability

A newspaper publisher trying to pinpoint his market's characteristics wondered whther the way people read a...

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

Solutions

Expert Solution

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


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