Question

6. A recent Gallop poll showed Trump's approval rating 40% with a margin or error of 3%.

Answer 1

Answer:

Explained below.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

$CI=\hat p\pm MOE$

Given:

$\hat p=0.40\\MOE=0.03$

(a)

Compute the confidence interval as follows:

$CI=\hat p\pm MOE$

     $=0.40\pm0.03\\\\=(0.37, 0.43)$

(b)

Since the confidence interval consists of values less than 50%, it implies that there is not enough evidence to suggest that more than 50% of Americans approve of Trump.