Answer:
0.9954
Step-by-step explanation:
For normal distribution z score is
= [tex]\frac{\hat p-p}{\sigma p}[/tex]
Population proportion (p) = 0.060
Sample size (n) = 285
the standard error of proportion is
= [tex]\sigma p = \sqrt{\frac{p\times (1 - p)}{n}}[/tex]
After putting the values into the above formula we will get
= 0.0141
Probability as the sample proportion will different from the population proportion by lower than the 4% that is
Probability = P(0.02<X<0.1) = P(-2.84<Z<2.84) = 0.9977 - 0.0023
= 0.9954
