contestada

6. A recent Gallop poll showed Trump's approval rating 40% with a margin or error of 3%.
a) Find the confidence interval,
c) Does the confidence interval support that more than 50% of Americans approve of
Trump? Why or why not?

Respuesta :

Answer:

Explained below.

Step-by-step explanation:

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

[tex]CI=\hat p\pm MOE[/tex]

Given:

[tex]\hat p=0.40\\MOE=0.03[/tex]

(a)

Compute the confidence interval as follows:

[tex]CI=\hat p\pm MOE[/tex]

     [tex]=0.40\pm0.03\\\\=(0.37, 0.43)[/tex]

(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.

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