Answer:
The given matrix is telling us that we must translate the figure one unit to the right side and one unit downside because the first row states 0 x-units and -1 y-units, the second row states 1 x-unit and 0 y-units.
The transformation of the coordinates would be
(1,-1) to (2, -2)
(2,1) to (3, 0)
(4,1) to (5, 0)
(4,-1) to (5, -2)
The image attached shows the representation of the image.
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