Answer:
Standard error = 0.05
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 100
Number of people who support the new policy, x = 46
Sample proportion:
[tex]\hat{p} = \dfrac{x}{n} = \dfrac{46}{100} = 0.46[/tex]
Formula for standard error of estimated proportion:
[tex]S.E = \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
Putting values, we get,
[tex]S.E = \sqrt{\dfrac{0.46(1-0.46)}{100}} = 0.0498\approx 0.05[/tex]
Thus, the 0.05 is the standard error of the estimated proportion of employees in the corporate supporting the new policy.
