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

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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
Transcribed Image Text: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
Transcribed Image Text: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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