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

The answer is "0.96562".

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 = (X)/(n)\\`

`= (150)/(400)\\\\ = 0.377`

When:

`\to P(P>0.375)\\\\`

`=P(\frac{P-p}{\sqrt{ (pq)/(n)}}>\frac{0.375-0.42}{\sqrt{(0.42 * 0.58)/(400)}})`

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