Newspapers lose their credit when they are found to have published deceptive or misleading news stones Researchers investigated whether certain national stereotipes occur more often in deceptive news stories than in authentic news stones. The researchers analyzed in the accompanying table gives the number of news stories found in each one category and the accompanying printout gives a technology output for the data Complete parts though the techno Find the sample proportion of negative tone news stories that are deceptive Round to three decal Find the sample proportion of neutral news stories that are deceptive Round to three decimal places as needed) Find the sample proportion of positive news stories that are deceptive Round to Bree decimal places as needed) Compare the sample proportions parts ac. Does appear that the proportion of news stones that are deceptive depends on story tone? OA Yes because the proportions of deceptive stories do notvary by one O No because the proportions of deceptive stories do not vary by tone OC. No because the proportions of deceptive stories vary by on OD Tee the proportions of deceptive stories vary by one Give the hypothesis for testing whether the authenticity of a news story depends on tone OAH, The proportion of authentic negative stories is the same as the proportion of authentic positive stones OCH Authentoty and tone are independent Use the accompanying technology printout to conduct the test pateTest 005 OA Do not reject, There is sufficient evidence that authenticity depends on tone OB Reject, There is not sufficient evidence that authenticity depends on toe OC. Do noted, There is not sufficient evidence that authenticity depends on tone OD Rejed, There is sufficient evidence that authentioty depends on tone OH, The proportion of authentic negative stories is not the same as the proportion of authentic positive stories OH, Authentoty and toneare dependent

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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8. Newspapers lose their credibility when they are found to have published deceptive or misleading news stories. Researchers investigated whether certain national stereotypes occur more often in deceptive news stories than in authentic news stories. The researchers analyzed 174 news stories that were proven to be deceptive in nature and 138 news stories that were considered authentic. Specifically, the researchers determined whether each story was
negative, neutral, or positive in tone. The accompanying table gives the number of news stories found in each tone category, and the accompanying printout gives a technology output for the data. Complete parts a through f below.
1 Click the icon to view the contingency table.
2 Click the icon to view the technology printout.
a. Find the sample proportion of negative tone news stories that are deceptive.
(Round to three decimal places as needed.)
b. Find the sample proportion of neutral news stories that are deceptive.
(Round to three decimal places as needed.)
c. Find the sample proportion of positive news stories that are deceptive.
(Round to three decimal places as needed.)
d. Compare the sample proportions, parts a-c. Does it appear that the proportion of news stories that are deceptive depends on story tone?
O A. Yes, because the proportions of deceptive stories do not vary by tone.
O B. No, because the proportions of deceptive stories do not vary by tone.
O C. No, because the proportions of deceptive stories vary by tone.
O D. Yes, because the proportions of deceptive stories vary by tone.
e. Give the null hypothesis for testing whether the authenticity of a news story depends on tone.
O A. Ho: The proportion of authentic negative stories is the same as the proportion of authentic positive stories.
O B. Ho: The proportion of authentic negative stories is not the same as the proportion of authentic positive stories.
OC. Ho: Authenticity and tone are independent.
O D. Ho: Authenticity and tone are dependent.
f. Use the accompanying technology printout to conduct the test, part e. Test at a = 0.05.
O A. Do not reject Ho. There is sufficient evidence that authenticity depends on tone.
OB. Reject Ho. There is not sufficient evidence that authenticity depends on tone.
OC. Do not reject Ho. There is not sufficient evidence that authenticity depends on tone.
O D. Reject Ho. There is sufficient evidence that authenticity depends on tone.
Transcribed Image Text:8. Newspapers lose their credibility when they are found to have published deceptive or misleading news stories. Researchers investigated whether certain national stereotypes occur more often in deceptive news stories than in authentic news stories. The researchers analyzed 174 news stories that were proven to be deceptive in nature and 138 news stories that were considered authentic. Specifically, the researchers determined whether each story was negative, neutral, or positive in tone. The accompanying table gives the number of news stories found in each tone category, and the accompanying printout gives a technology output for the data. Complete parts a through f below. 1 Click the icon to view the contingency table. 2 Click the icon to view the technology printout. a. Find the sample proportion of negative tone news stories that are deceptive. (Round to three decimal places as needed.) b. Find the sample proportion of neutral news stories that are deceptive. (Round to three decimal places as needed.) c. Find the sample proportion of positive news stories that are deceptive. (Round to three decimal places as needed.) d. Compare the sample proportions, parts a-c. Does it appear that the proportion of news stories that are deceptive depends on story tone? O A. Yes, because the proportions of deceptive stories do not vary by tone. O B. No, because the proportions of deceptive stories do not vary by tone. O C. No, because the proportions of deceptive stories vary by tone. O D. Yes, because the proportions of deceptive stories vary by tone. e. Give the null hypothesis for testing whether the authenticity of a news story depends on tone. O A. Ho: The proportion of authentic negative stories is the same as the proportion of authentic positive stories. O B. Ho: The proportion of authentic negative stories is not the same as the proportion of authentic positive stories. OC. Ho: Authenticity and tone are independent. O D. Ho: Authenticity and tone are dependent. f. Use the accompanying technology printout to conduct the test, part e. Test at a = 0.05. O A. Do not reject Ho. There is sufficient evidence that authenticity depends on tone. OB. Reject Ho. There is not sufficient evidence that authenticity depends on tone. OC. Do not reject Ho. There is not sufficient evidence that authenticity depends on tone. O D. Reject Ho. There is sufficient evidence that authenticity depends on tone.
Contingency table
Negative tone
Neutral tone
Positive tone
Totals
Authentic
News Stories
64
50
24
138
Print
Deceptive
News
Stories
104
57
13
174
Done
-
X
Technology printout
Tabulated statistics: TONE, STORY
Rows: TONE Columns: STORY
Authentic
Deceptive
Negative
64
74.31
104
93.69
Neutral
50
47.33
57
59.67
Positive
24
16.37
13
20.63
All
138
174
138.00
174.00
Cell Contents: Count
Expected count
Pearson Chi-Square= 9.221, DF = 2, P-Value = 0.010
Print
Done
All
168
168.00
107
107.00
37
37.00
312
312.00
- X
Transcribed Image Text:Contingency table Negative tone Neutral tone Positive tone Totals Authentic News Stories 64 50 24 138 Print Deceptive News Stories 104 57 13 174 Done - X Technology printout Tabulated statistics: TONE, STORY Rows: TONE Columns: STORY Authentic Deceptive Negative 64 74.31 104 93.69 Neutral 50 47.33 57 59.67 Positive 24 16.37 13 20.63 All 138 174 138.00 174.00 Cell Contents: Count Expected count Pearson Chi-Square= 9.221, DF = 2, P-Value = 0.010 Print Done All 168 168.00 107 107.00 37 37.00 312 312.00 - X
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