Question

A survey of 500 citizens of a large country revealed that 70 of them believe the government's highest priority should be foreign relations. Find the standard error for the sample proportion of citizens in the country who believe the government's highest priority should be foreign relations.

Answer 1

Answer:

Step-by-step explanation:

No of citizens participated in the survey =n =500

No of people who believe the government's highest priority should be foreign relations.=70

Sample proportion = p = $\frac{70}{500} =0.14$

q = 1-p = 1-0.14 = 0.86

Std error of proportion= $\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.14*0.86}{500} } \\=0.01552$

Concept used:Sample proportion p follows a normal distribution with mean =p and std error = sq rt pq/n