During a recent election for state government, a bill was voted on. 40% of the state voted no and 60% of the state voted yes. In a local town, asample of 60 individuals stated how they voted. Of the 60, 15 voted no and 45 voted yes.O JMP Appletimp?ReportDistributionsDistributionsVoteVoteFrequenciesLevelCountProbNo15 0.25000Yes45 0.75000Total60 1.00000YesN Missing2 LevelsNoTest ProbabilitiesTest ProbabilitiesLevelEstim Prob Hypoth ProbLevelEstim Prob Hypoth Prob0.70000No0.250000.40000No0.25000Yes0.750000.60000Yes0.750000.30000z Test Prob > Iz|0.0177*z Test Prob > Iz|Test Statistic -2.3717Test Statistic -7.6064Method:<.0001*Method:Fix hypothesized values, rescale omittedFix hypothesized values, rescale omittedTest ProbabilitiesTest ProbabilitiesLevel Estim Prob Hypoth ProbLevelEstim Prob Hypoth ProbNo0.250000.30000No0.250000.60000Yes0.750000.70000Yes0.750000.40000z Test Prob > Iz|z Testob > |z|Test Statistic -0.84520.3980Test Statistic -5.5340<.0001*Method:Fix hypothesized values, rescale omittedMethod:Fix hypothesized values, rescale omitted O (a)The lawmakers are interested in seeing if the proportion of people who voted no in the town is statistically different than the proportion for theentire state.Ho:p = 0.4H:p + 0.4Determine the p-value for this test. (Round your answer to four decimal places.)O (b)Should the lawmakers reject the null hypothesis at the 1% significance level?The lawmakers should --Select-- v the null hypothesis. The proportion of people who voted no in the town --Select--- v statisticallydifferent than the statewide proportion.O (c)The lawmakers decide to change the significance level to 2%. How does the answer change?The lawmakers should --Select-- v the null hypothesis. The proportion of people who voted no in the towndifferent than the statewide proportion.Select---statistically

Name: During a recent election for state government, a bill was voted on. 4
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Description: During a recent election for state government, a bill was voted on. 40% of the state voted no and 60% of the state voted yes. In a local town, asample of 60 individuals stated how they voted. Of the 60, 15 voted no and 45 voted yes.O JMP Appletimp?R

(a) State the hypotheses. That is, there is no evidence that the proportion of people who voted no…

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Statistics

During a recent election for state government, a bill was voted on. 40% of the state voted no and 60% of the state voted yes. In a local town, a sample of 60 individuals stated how they voted. Of the 60, 15 voted no and 45 voted yes. O JMP Applet imp ? Report Distributions Distributions Vote Vote Frequencies Level Count Prob No 15 0.25000 Yes 45 0.75000 Total 60 1.00000 N Missing |2 Levels No Test Probabilities Test Probabilities Level Estim Prob Hypoth Prob 0.25000 Level Estim Prob Hypoth Prob 0.70000 0.30000 z Test Prob > |z| <.0001* No 0.40000 0.25000 0.75000 No Yes 0.75000 0.60000 Yes z Test Prob > |z| Test Statistic -2.3717 0.0177* Method: Fix hypothesized values, rescale omitted Test Statistic -7.6064 Method: Fix hypothesized values, rescale omitted Test Probabilities Test Probabilities Estim Prob Hypoth Prob 0.25000 Level Level Estim Prob Hypoth Prob 0.30000 No No 0.25000 0.60000 Yes 0.75000 0.70000 Yes 0.75000 0.40000 z Test Prob > Iz| z Test Prob > Iz| Test Statistic -0.8452 0.3980 Test Statistic -5.5340 <.0001* Method: Fix hypothesized values, rescale omitted Method: Fix hypothesized values, rescale omitted

During a recent election for state government, a bill was voted on. 40% of the state voted no and 60% of the state voted yes. In a local town, a sample of 60 individuals stated how they voted. Of the 60, 15 voted no and 45 voted yes. O JMP Applet imp ? Report Distributions Distributions Vote Vote Frequencies Level Count Prob No 15 0.25000 Yes 45 0.75000 Total 60 1.00000 N Missing |2 Levels No Test Probabilities Test Probabilities Level Estim Prob Hypoth Prob 0.25000 Level Estim Prob Hypoth Prob 0.70000 0.30000 z Test Prob > |z| <.0001* No 0.40000 0.25000 0.75000 No Yes 0.75000 0.60000 Yes z Test Prob > |z| Test Statistic -2.3717 0.0177* Method: Fix hypothesized values, rescale omitted Test Statistic -7.6064 Method: Fix hypothesized values, rescale omitted Test Probabilities Test Probabilities Estim Prob Hypoth Prob 0.25000 Level Level Estim Prob Hypoth Prob 0.30000 No No 0.25000 0.60000 Yes 0.75000 0.70000 Yes 0.75000 0.40000 z Test Prob > Iz| z Test Prob > Iz| Test Statistic -0.8452 0.3980 Test Statistic -5.5340 <.0001* Method: Fix hypothesized values, rescale omitted Method: Fix hypothesized values, rescale omitted

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

Topic Video

Question

During a recent election for state government, a bill was voted on. 40% of the state voted no and 60% of the state voted yes. In a local town, a
sample of 60 individuals stated how they voted. Of the 60, 15 voted no and 45 voted yes.
O JMP Applet
imp
?
Report
Distributions
Distributions
Vote
Vote
Frequencies
Level
Count
Prob
No
15 0.25000
Yes
45 0.75000
Total
60 1.00000
Yes
N Missing
2 Levels
No
Test Probabilities
Test Probabilities
Level
Estim Prob Hypoth Prob
Level
Estim Prob Hypoth Prob
0.70000
No
0.25000
0.40000
No
0.25000
Yes
0.75000
0.60000
Yes
0.75000
0.30000
z Test Prob > Iz|
0.0177*
z Test Prob > Iz|
Test Statistic -2.3717
Test Statistic -7.6064
Method:
<.0001*
Method:
Fix hypothesized values, rescale omitted
Fix hypothesized values, rescale omitted
Test Probabilities
Test Probabilities
Level Estim Prob Hypoth Prob
Level
Estim Prob Hypoth Prob
No
0.25000
0.30000
No
0.25000
0.60000
Yes
0.75000
0.70000
Yes
0.75000
0.40000
z Test Prob > Iz|
z Test
ob > |z|
Test Statistic -0.8452
0.3980
Test Statistic -5.5340
<.0001*
Method:
Fix hypothesized values, rescale omitted
Method:
Fix hypothesized values, rescale omitted

O (a)
The lawmakers are interested in seeing if the proportion of people who voted no in the town is statistically different than the proportion for the
entire state.
Ho:p = 0.4
H:p + 0.4
Determine the p-value for this test. (Round your answer to four decimal places.)
O (b)
Should the lawmakers reject the null hypothesis at the 1% significance level?
The lawmakers should --Select-- v the null hypothesis. The proportion of people who voted no in the town --Select--- v statistically
different than the statewide proportion.
O (c)
The lawmakers decide to change the significance level to 2%. How does the answer change?
The lawmakers should --Select-- v the null hypothesis. The proportion of people who voted no in the town
different than the statewide proportion.
Select---
statistically

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