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13. a sample of 120 employees shows that 12 prefer remote work. based o…

Question

  1. a sample of 120 employees shows that 12 prefer remote work. based on this sample, what is the estimated proportion of employees in the entire company who prefer remote work?

a. 0.72
b. 0.50
c. 0.10
d. 0.02

Explanation:

Step1: Recall proportion formula

The proportion $\hat{p}=\frac{x}{n}$, where $x$ is the number of successes and $n$ is the sample - size.

Step2: Identify values

Here, $x = 12$ (number of employees who prefer remote work) and $n = 150$ (sample size of employees).

Step3: Calculate proportion

$\hat{p}=\frac{12}{150}=0.08$

Answer:

The proportion is 0.08. Since the options are not clearly visible, if one of the options is 0.08, that would be the correct answer.