Question

According to one pollster, 43 % of people are afraid of flying. Suppose that a sample of size 26 is drawn. Find the value of standard error , the standard deviation of the distribution of sample proportions.

Answer 1

Answer:  0.0971

Step-by-step explanation:

Given : Sample size : $n=26$

The percent of people are afraid of flying $=43\%$

Thus the proportion of people are afraid of flying $P=0.43$

We know that the formula to find the standard deviation of the distribution of sample proportions is given by :-

$\text{S.E.}=\sqrt{\dfrac{P(1-P)}{n}}\\\\\Rightarrow\text{S.E.}=\sqrt{\dfrac{0.43(1-0.43)}{26}}\\\\\Rightarrow\ \text{S.E.}=0.0970923430396\approx0.0971$

Hence, the standard deviation of the distribution of sample proportions = 0.0971