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Example1

Title: Evaluating and Inference Sample Statistics

Grade Lesson s6-l4

Explanation: The best way to understand SAT-4 is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1 Example2

A company has 200 employees. A manager surveyed a random sample of 40 employees and found that 16 of those polled supported a new company policy. Based on the sample, which of the following is the best estimate of the number of employees in the company who support the new policy?

Step: 1

First, we calculate the proportion of employees in the sample who support the policy:

\$"Proportion of supporters in the sample" = ("Number of supporters in the sample") / ("Total number of sampled employees")\$

\$"Proportion of supporters in the sample" = (16)/(40)\$ = 0.4.

Explanation:

Here, we calculate the proportion of employees in the sample.

Step: 2

Now, we can use this proportion to estimate the total number of supporters in the entire company:

\$"Estimated total number of supporters in the company" = ("Proportion of supporters in the sample") \times "(Total number of company employees)"\$
\$"Estimated total number of supporters in the company" = (0.4 \times 200)\$ = 80

Explanation:

So, the best estimate of the number of employees in the company who support the new policy is 80.