Question

176 employees of your firm were asked about their job satisfaction. Out of the 176, 157 said they were unsatisfied. What is the estimate of the population proportion? What is the standard error of this estimate?

Question 2 options:

1)	Estimate of proportion: 0.892, Standard error: 0.0234.

2)	Estimate of proportion: 0.892, Standard error: 0.0018.

3)	The true population proportion is needed to calculate this.

4)	Estimate of proportion: 0.108, Standard error: 0.0234.

5)	Estimate of proportion: 0.108, Standard error: 0.0018.

Answer 1

Solution :

Given that,

n = 176

x = 157

Point estimate = sample proportion = = x / n = 157 /176 = 0.892

1 - = 1-0.892 = 0.108

Standard error = (( * (1 - )) / n)

= *((0.892*(0.0.108) /176 )

= 0.0234

Answer =

1)	Estimate of proportion: 0.892, Standard error: 0.0234.