Answer:
Following are the solution to the question:
Step-by-step explanation:
[tex]p = 0.43\\\\n = 243\\\\\sigma =\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.43 (1 -0.43)}{243}}=0.0013[/tex]
z-score for [tex]\hat{p}=0.2[/tex] will be:
z score for will be:
[tex]z=\frac{\hat{p}-p}{\sigma}=\frac{0.39 - 0.43}{0.0013}=-30.76[/tex]
[tex]P(0.2 <\hat{p}< 0.39) = P(-176.92 < z < -30.76)[/tex] using excel method to calculate the value.
