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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

Respuesta :

SaniShahbaz

Answer:

  • The value of x is 148
  • The best point estimate of population proportion is 74%

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:

[tex]p=\frac{x}{n}[/tex]

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:

[tex]p=\frac{148}{200} \\\\ p=0.74\\\\ p =74\%[/tex]

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

So, the correct statements for this scenario are:

  • The value of x is 148
  • The best point estimate of population proportion is 74%

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