Express the confidence interval 0.555 less than 0.777 in the form Modifying above p with caret plus or minus Upper E.

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.

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

it would be 3 ÷by 6 because the number on each side