Using this dotplot and the difference in proportions from the samples, is there convincing evidence that the new additive was more effective?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Question
A florist wants to determine if a new additive would help
Using this dotplot and the difference in proportions from
extend the life of cut flowers longer than the original
the samples, is there convincing evidence that the new
additive. The florist randomly selects 20 carnations and
randomly assigns 10 to the new additive and 10 to the
original additive. After three weeks, 6 carnations placed
additive was more effective?
O Yes, because a difference in proportions of 0.4 or
more occurred 7 out of 200 times, meaning the
difference is statistically significant and the new
in the new additive still looked healthy and 2 carnations
placed in the original additive still looked healthy. The
difference in proportions (new - original) for the
carnations that still looked healthy after three weeks was
additive is more effective.
0.4. Assuming there is no difference in the additives, 200
simulated differences in sample proportions are
Yes, because a difference in proportions of 0.4 or les
occurred 193 out of 200 times, meaning the differenc
is statistically significant and the new additive is more
effective.
displayed in the dotplot.
O No, because a difference in proportions of 0.4 or
more occurred 7 out of 200 times, meaning the
difference is not statistically significant and the new
Simulation for Difference in
Proportions of Carnation Health
additive is not more effective.
No, because a difference in proportions of 0.4 or les
occurred 193 out of 200 times, meaning the differenc
in not otntintioalhe sianificent and the nouinddituein
Submit
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M
Transcribed Image Text:A florist wants to determine if a new additive would help Using this dotplot and the difference in proportions from extend the life of cut flowers longer than the original the samples, is there convincing evidence that the new additive. The florist randomly selects 20 carnations and randomly assigns 10 to the new additive and 10 to the original additive. After three weeks, 6 carnations placed additive was more effective? O Yes, because a difference in proportions of 0.4 or more occurred 7 out of 200 times, meaning the difference is statistically significant and the new in the new additive still looked healthy and 2 carnations placed in the original additive still looked healthy. The difference in proportions (new - original) for the carnations that still looked healthy after three weeks was additive is more effective. 0.4. Assuming there is no difference in the additives, 200 simulated differences in sample proportions are Yes, because a difference in proportions of 0.4 or les occurred 193 out of 200 times, meaning the differenc is statistically significant and the new additive is more effective. displayed in the dotplot. O No, because a difference in proportions of 0.4 or more occurred 7 out of 200 times, meaning the difference is not statistically significant and the new Simulation for Difference in Proportions of Carnation Health additive is not more effective. No, because a difference in proportions of 0.4 or les occurred 193 out of 200 times, meaning the differenc in not otntintioalhe sianificent and the nouinddituein Submit Next Save and Exit Mark this and retum US M
suming there is no difference in the additives, 200
occurred 193 out of 200 times, meaning the difference
simulated differences in sample proportions are
displayed in the dotplot.
is statistically significant and the new additive is more
effective.
Simulation for Difference in
O No, because a difference in proportions of 0.4 or
Proportions of Carnation Health
more occurred 7 out of 200 times, meaning the
difference is not statistically significant and the new
additive is not more effective.
O No, because a difference in proportions of 0.4 or less
occurred 193 out of 200 times, meaning the difference
is not statistically significant and the new additive is
not more effective.
-0.6 -0.4 -0.2 0.0 0.2 0.4 0.6
Difference in proportions (new – original)
Next
Submit
Save and Exit
Mark this and retun
US V I 12:2
Transcribed Image Text:suming there is no difference in the additives, 200 occurred 193 out of 200 times, meaning the difference simulated differences in sample proportions are displayed in the dotplot. is statistically significant and the new additive is more effective. Simulation for Difference in O No, because a difference in proportions of 0.4 or Proportions of Carnation Health more occurred 7 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective. O No, because a difference in proportions of 0.4 or less occurred 193 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective. -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 Difference in proportions (new – original) Next Submit Save and Exit Mark this and retun US V I 12:2
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