A sample of 321 urban adult residents of a particular state revealed 39 who favored increasing the highway speed limit from 55 to 65 mph, whermple of 175 rural residents yielded 77 who favored the increase. Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents? LAUSE SALT (a) Test Ho: P1 P₂0 versus HP P₂0 using a 0.05, where p, refers to the urban population. (Round your test statistic to two decimal places and your value to four decimal places) P-value State the conclusion in the problem context. O Reject H- The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents O Reject Ho. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of residents. O Fall to reject Ho- The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents. O Fall to reject Ho. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of residents (6) If the true proportions favoring the increase are actually p, 0.24 (urban) and p = 0.39 (rural), what is the probability that H, will be rejected using a level 0.05 test with m= 321, n 1757 (Round your answer to four decimal places.) this question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A6

3.
Viewing Naved Work Last Respo
DEVORESTAT9 9.SE.508.XP.S.
ASK YOUR TEACHER
A sample of 321 urban adult residents of a particular state revealed 59 who favored increasing the highway speed limit from 55 to 65 mph, where of 175
rural residents yielded 77 who favored the increase. Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of
residents?
DETAILS
LAUSE SALT
(a) Test Ho: P₁ P₂0 versus HP₁P₂0 using a 0.05, where p, refers to the urban population. (Round your test statistic to two decimal places and
your value to four decimal places)
Z
P-value=
MY NOTES
State the conclusion in the problem context.
Reject Ho- The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents.
O Reject Ho. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of residents.
O Fail to reject Ho- The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents.
O Fall to reject Ho. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of residents.
(6) If the true proportions favoring the increase are actually P₂ = 0.24 (urban) and p = 0.39 (rural), what is the probability that H, will be rejected using a
level 0.05 test with m= 321, n = 1757 (Round your answer to four decimal places.)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
PO
Transcribed Image Text:3. Viewing Naved Work Last Respo DEVORESTAT9 9.SE.508.XP.S. ASK YOUR TEACHER A sample of 321 urban adult residents of a particular state revealed 59 who favored increasing the highway speed limit from 55 to 65 mph, where of 175 rural residents yielded 77 who favored the increase. Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents? DETAILS LAUSE SALT (a) Test Ho: P₁ P₂0 versus HP₁P₂0 using a 0.05, where p, refers to the urban population. (Round your test statistic to two decimal places and your value to four decimal places) Z P-value= MY NOTES State the conclusion in the problem context. Reject Ho- The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents. O Reject Ho. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of residents. O Fail to reject Ho- The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents. O Fall to reject Ho. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of residents. (6) If the true proportions favoring the increase are actually P₂ = 0.24 (urban) and p = 0.39 (rural), what is the probability that H, will be rejected using a level 0.05 test with m= 321, n = 1757 (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question. PO
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