Answer:
The 99% confidence interval for p in this case is (0.3317, 0.5883).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.
This means that:

99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 99% confidence interval for p in this case is (0.3317, 0.5883).
The awnsser is 9..................
I line that is perpendicular is a line with reversed slopes like 2/1 is perpendicular to -1/2. So find the slope by getting the y by itself and reverse it. Remember to switch the signs too! P.S. if you don't know how to get the y by itself just take and subtract 3x from -5y and -4 then divide by 5. Hope I helped!
because the symbol is a less than sign < the blue area needs to be below the red line and does not include the solution to Y ( if it included Y it would be a ≤ symbol.
When the solution isn't included, it is a dashed line.
so the answer would be D