Marta jogs a certain distance and then walks a certain distance. When she jogs, she averages 5 miles/hour and when she walks she
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Answer:
Hence when C.I. is 80% then Margin of error will be 1.9591%
Step-by-step explanation:
Given:
1st Margin of error(MOE)=3%
1st C.I.=95%
2nd C.I.=80%
To Find:
MOE at 80%
Solution:
The proportion is 64 % i.e. is constant for both MOE
Proportion is given by (P),
P=x/n
Where x= favors congressional terms
n= total voters or sampled voters.
There values are same or constant.
i.e standard deviation is also constant
Now Formula for MOE is given by
here Z is value for confidence interval
MOE is directly proportional to the Z-value
So
... where k is proportionality constant.
....ratio is constant
So , for 95 % Z=1.96 and for 80% Z=1.28
%
Let's assume x= 10.03636........ (1)
Multiply each sides by 100. So,
100x = 1003.63636.......... (2)
Next step is to subtract the equation (1) and (2)
100x - x= 1003.63636- 10.03636
99x= 993.6
99x*10 = 993.6 (By multiplying each sides by 10 to get rid of decimal)
990x = 9936
990x/990 = 9936/990 ( Divide each sides by 990)
x= ( Divide both top and bottom to reduce)
x =
So, 10.03636...... can be represent as 552/55.