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Answer:
Percentage of votes in favour of new speed limit=50%
Step-by-step explanation:
There was a voting in Molly's town to set a new limit for the speed attained by a vehicle.
In Molly's town,
- Number of votes recorded=38
- Number of votes in favour of the new speed limit=19
We have to find the percentage of votes in favour of the new speed limit.
For that,the percentage of votes in favour=
Percentage of votes in favour=
Percentage of votes in favour=50%
The confidence interval comes out to be (0.685,0.735).
Calculating the Confidence Level and Other Terms
The confidence level can be calculated as follows,
z = %
z = 90 %
The margin error is given as, E= 0.025
The p value in this case is 0.71
Calculating the Confidence Interval
The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
Confidence interval can be obtained by using the following formula,
(p-E, p+E) = (0.71-0.025, 0.71+0.025).
Therefore, the confidence interval is (0.685, 0.735).
Learn more about confidence interval here:
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