Question

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  = .

Which statements are true about estimating the population proportion of employees who prefer the new coffee brand? Check all that apply.

The value of n is 850.

The best estimate of the population proportion is
 = 74%.

The best estimate of the population proportion is 
 = 24%.

The CEO can confidently conclude that the old coffee brand is preferred.

The value of x is 148.

​

Answer 1

The best estimate of the population proportion is

(B)= 74%.

and

The value of x is 148.

are the only correct options

Answer 2

Hence the best estimate is population with correct option is 74% and

the value for x=148

Explanation:

Given:

A sample of 200

Of which 148 prefer brand new coffee

To Find:

Which statement is true?

Solution:

n=200

x=148

remaining 52 prefer old ones .

So estimate population proportion,

p=x/n

p=148/200

p=0.74

p=74 %

Now, when x=52

p=x/n,

p=52/200

p=0.26

p=26%

There is no option for 52 and 24 %

Hence x=148 and p=74%.