Question

A market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions

Answer 1

Answer:

The answer is "0.96562".

Step-by-step explanation:

please find the complete question which is defined in the attached file.

Given value:

$\to p = 0.42 \\\\\to q = 1 - p$

      $= 0.58$  

$\to n = 400\\\\\to x = 150 \\\\\to P = \frac{X}{n}$

        $= \frac{150}{400}\\\\ = 0.377$

When:

   $\to P(P>0.375)$

$=P(\frac{P-p}{\sqrt{ \frac{pq}{n}}}>\frac{0.375-0.42}{\sqrt{\frac{0.42 \times 0.58}{400}}})$

$=P(Z>-1.82) \\\\=1-P(Z>1.82)\\\\=1-0.034380\\\\ =0.96562$