Answer:
\alpha = 0.10
Explanation:
We can use the following method to solve the given problem
\hat{p} = sample proportion = 0.14
\hat{q} = found from evaluating 1 - \hat{p} = 0.86
n = sample size = 500
E = margin of error = 0.05
p = population proportion
Given,
Confidence level = 90%
Significance level \alpha = 1 - 0.90
= 0.10
\alpha = 0.10