Calculate the standard error for p=0.5p = 0.5p=0.5 and n=4000n = 4000n=4000.
sqrt0.25/400\\sqrt{0.25/400}sqrt0.25/400
sqrt0.5/4000\\sqrt{0.5/4000}sqrt0.5/4000
sqrt0.25/4000\\sqrt{0.25/4000}sqrt0.25/4000
sqrt0.5/400\\sqrt{0.5/400}sqrt0.5/400