Question

Based on the random sample of n=800 observations, we have obtained a sample proportion p(bar) =0.44. the goal is to test: h(0): p≥0.48 h(a): p<0.48 what is the standard error (σ(p))? rounded to four decimal places.

Answer 1

The standard error of a sample proportion is given by the formula:

SE =
`\sqrt{ (p(1-p))/(n) }`

Therefore:

SE = √[0.44(1-0.44)/800]
= √(0.44×0.56/800)
= 0.175

Hence, the standard error of the given sample proportion is σ(p) = 0.175