There are 850 employees at a software company. The
company's CEO was interested in finding out if his
employees prefer the new coffee brand provided in the
break rooms or the old coffee brand.
A random sample of 200 employees was conducted, and
148 employees said that they prefer the new coffee
brand over the old one.
The point estimate is calculated using the formula p = x

Step-by-step explanation:

Sample size = n = 200

Number of employees who prefer the new coffee = 148

The formula to calculate the point estimate is:

Here, x is the number of outcomes of our interest i.e. the number of employees who prefer the new coffee brand over the old one. Therefore,

x = 148

Using the values in the above formula, we get the point estimate as:

Therefore, the best point estimate for the population proportion is p = 74%

So, the correct statements for this scenario are:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).