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 c…

Question

asked Aug 7, 2021 167k views

1 Answer

Blodrayne · Answer 1 · 2021-08-13T07:29:49+0000

Answer:

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:

$\to P(P>0.375)\\\\$

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

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