Answer:
The value is [tex]\sigma_{p} = 0.022[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 900
The population proportion is [tex]p = 0.65[/tex]
Generally the standard error of the distribution of sample proportion is mathematically represented as
[tex]\sigma_{p} = \sqrt{\frac{ p(1 - p)}{ n} }[/tex]
=> [tex]\sigma_{p} = \sqrt{\frac{ 0.65 (1 - 0.65 )}{ 900} }[/tex]
=> [tex]\sigma_{p} = 0.022[/tex]