Suppose 56%of politicians are lawyers.If a random sample of size 564 is selected, what is the probability that the proportion of

Question

2 years ago

13

politicians who are lawyers will differ from the total politicians proportion by less than 4%

1 answer:

IceJOKER [234] · Answer 1 · 2022-09-01T02:08:06+03:00

Answer: 0.9444

Step-by-step explanation:

Given: The proportion of politicians are lawyers : <em>p </em>=0.56

Sample size : n = 564

Let q be th sample proportion.

The probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4% will be :-

$P(|q-p|$

Hence, the required probability = 0.9444