Question

(5) A random sample of n-1483 adults in the US were asked whether they consider a car a necessity or a luxury, and we find that a 95% confidence interval for the proportion saying that is is a necessity is 0.83 to 0.89. Explain the meaning of this confidence interval in the appropriate context

Answer 1

5)

Given that,

A 95% confidence interval for population proportion p is ,

$\hat p$ - E < p < $\hat p$ + E

0.83 < p < 0.89

The appropriate context is,

The 95% confident that the true proportion p is lies between 0.83 and 0.89 .