Scholars agree that the book Khetoric A was written by the Greek philosopher Aristotle but there is some suspicion that Rhetoric to Alexander was not. To test their theory they selected a sample of 100 sentences from each of these two books and classified these sentences as either ending with a noun, ending with a verb, or ending with some other part of speech. The data is shown in the table below.

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Scholars agree that the book Khetoric A was written by the Greek philosopher Aristotle but
there is some suspicion that Rhetoric to Alexander was not. To test their theory they selected a
sample of 100 sentences from each of these two books and classified these sentences as either
ending with a noun, ending with a verb, or ending with some other part of speech. The data is
shown in the table below.
Rhetoric A
Rhetoric to Alexander
Total
(84)(152)
100
(55)(100)
200
(52) (84)
200
If the two books were written by the same person, which of the following expressions is equal
to the expected number of sentences in Rhetoric to Alexander that end with a verb?
(52) (100)
200
Noun
28
27
55
(100) (84)
200
Verb
32
52
84
Other
40
21
61
Total
100
100
200
"
W
Transcribed Image Text:Scholars agree that the book Khetoric A was written by the Greek philosopher Aristotle but there is some suspicion that Rhetoric to Alexander was not. To test their theory they selected a sample of 100 sentences from each of these two books and classified these sentences as either ending with a noun, ending with a verb, or ending with some other part of speech. The data is shown in the table below. Rhetoric A Rhetoric to Alexander Total (84)(152) 100 (55)(100) 200 (52) (84) 200 If the two books were written by the same person, which of the following expressions is equal to the expected number of sentences in Rhetoric to Alexander that end with a verb? (52) (100) 200 Noun 28 27 55 (100) (84) 200 Verb 32 52 84 Other 40 21 61 Total 100 100 200 " W
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