(d) The company wants to conduct a statistical test to investigate whether there is an association between educational achievement and primary source for news for adults in the city. What is the name of the statistical test that should be used? What are the appropriate degrees of freedom for this test?

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This is for the kind expert who answered this Multiple part question. The parts needed to be answered are Part D and the appropriate Degrees of Freedom for this Test. Thank you:)

5. An advertising agency in a large city is conducting a survey of adults to investigate whether there is an
association between highest level of educational achievement and primary source for news. The company
takes a random sample of 2,500 adults in the city. The results are shown in the table below.
HIGHEST LEVEL OF EDUCATIONAL ACHIEVEMENT
Not High
Primary Source
for News
High School Graduate
But Not College
School
College Graduate
Total
Graduate
Graduate
Newspapers
Local television
49
205
188
442
90
170
75
335
Cable television
113
496
147
756
Internet
41
401
245
687
None
77
165
38
280
Total
370
1,437
693
2,500
(a) If an adult is to be selected at random from this sample, what is the probability that the selected adult is a
college graduate or obtains news primarily from the internet?
(b) If an adult who is a college graduate is to be selected at random from this sample, what is the probability that
the selected adult obtains news primarily from the internet?
(c) When selecting an adult at random from the sample of 2,500 adults, are the events "is a college graduate"
and "obtains news primarily from the interneť" independent? Justify your answer.
(d) The company wants to conduct a statistical test to investigate whether there is an association between
educational achievement and primary source for news for adults in the city. What is the name of the
statistical test that should be used?
What are the appropriate degrees of freedom for this test?
Transcribed Image Text:5. An advertising agency in a large city is conducting a survey of adults to investigate whether there is an association between highest level of educational achievement and primary source for news. The company takes a random sample of 2,500 adults in the city. The results are shown in the table below. HIGHEST LEVEL OF EDUCATIONAL ACHIEVEMENT Not High Primary Source for News High School Graduate But Not College School College Graduate Total Graduate Graduate Newspapers Local television 49 205 188 442 90 170 75 335 Cable television 113 496 147 756 Internet 41 401 245 687 None 77 165 38 280 Total 370 1,437 693 2,500 (a) If an adult is to be selected at random from this sample, what is the probability that the selected adult is a college graduate or obtains news primarily from the internet? (b) If an adult who is a college graduate is to be selected at random from this sample, what is the probability that the selected adult obtains news primarily from the internet? (c) When selecting an adult at random from the sample of 2,500 adults, are the events "is a college graduate" and "obtains news primarily from the interneť" independent? Justify your answer. (d) The company wants to conduct a statistical test to investigate whether there is an association between educational achievement and primary source for news for adults in the city. What is the name of the statistical test that should be used? What are the appropriate degrees of freedom for this test?
Expert Solution
Step 1

(d)

Chi-square independence test:

The chi-square is a non-parametric test which is used for comparing two categorical variables. The chi-square independence test helps in determining the association between categorical variables. It is used for determining whether the variables are related or not.

The variables educational achievement and primary source for news for adults in the city are categorical. The chi-square independence test can be used for determining association between these two variables using the expected frequencies.

Thus, the name of the statistical test used is chi-square independence test.

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