In a recent survey of 500 social media users, 300 stated that they were concerned about privacy. Assuming the distribution is approximately normal, determine the point estimate and standard error for the proportion of social media users who are concerned about privacy.

Respuesta :

Answer:

Standard error for the proportion of social media users who are concerned about privacy

S.E = 0.0219

Step-by-step explanation:

Explanation:-

Given data recent survey of 500 social media users, 300 stated that they were concerned about privacy

Size of random sample 'n' = 500

                                        x = 300

sample proportion         [tex]p = \frac{x}{n} = \frac{300}{500} = 0.6[/tex]

Standard error for the proportion of social media users who are concerned about privacy is determined by

                 [tex]S.E = \sqrt{\frac{p(1-p)}{n} }[/tex]

                [tex]S.E = \sqrt{\frac{0.6(1-0.6)}{500} }= 0.0219[/tex]