umthumaL3e

Answered question

2022-12-03

A local newspaper in a large city wants to assess support for the construction of a highway bypass around the central business district to reduce downtown traffic. They survey a random sample of 1152 residents and find that 543 of them support the bypass. Construct and interpret a 95% confidence interval to estimate the proportion of residents who support construction of the bypass.

Answer & Explanation

kriteria0b1

Beginner2022-12-04Added 10 answers

given that,
possible chances (x)=543
size(n)=1152
success rate ( p )= x/n = 0.4714
point of estimate = proportion = 0.4714
standard error $=\sqrt{\frac{\left(0.4714\cdot 0.5286\right)}{1152}}$
= 0.0147
margin of error $=Z\frac{a}{2}\cdot \text{(standard error)}$
where,
$Z\frac{a}{2}=Z$-table value
level of significance, $\alpha =0.05$
from standard normal table, two tailed $z\frac{\alpha }{2}=1.96$

= 0.0288

$=\left[0.4425,0.5002\right]$

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?