Find the value of the expression
1 answer:
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Complete Question
Express the confidence interval 0.555 less than p less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Answer:
The modified representation is
Step-by-step explanation:
From the question we are told that
The confidence interval interval is
Now looking at the values that make up the up confidence interval we see that this is a symmetric confidence interval(This because the interval covers 95% of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail as shown on the figure in the first uploaded image(reference - Yale University ) ) which means
Now since the confidence interval is symmetric , we can obtain the sample proportion as follows
Generally the margin of error is mathematically represented as
Where K is the length of the confidence interval which iis mathematically represented as
Hence
So the confidence interval can now be represented as
Answer:
The fraction is =
Step-by-step explanation:
In simplest form the fraction is represented in mixed number as .
The fraction form of the mixed number can be given as :
Let the fraction be = [As multiplying same numbers to numerator and denominator does not affect the proportion.
Sum of numerator and denominator is = 30
This, can be represented as:
Solving for .
Dividing both sides by 10.
So, the fraction will be =
⇒