Select the correct answer from each drop-down menu. Cameron is a member of a national gardening club. She asked 200 of her fellow members whether they use compost to fertilize their plants, and

45% responded favorably.

What is the 90% confidence interval for the true proportion of club members who use compost?

(0.392 ; 0.508)

Step-by-step explanation:

Given that :

p = 45% = 0.45

α = 1 - 90% = 0.1

Zα/2 = Z0.01/2 = Z0.05 = 1.645 (from Z standard table).

Using the relation :

p ± Z0.05*sqrt((p(1-p))/n)

p ± 1.645 * sqrt(0.45(0.55)/200)

p ± 1.645 * sqrt(0.0012375)

p ± 1.645 *0.0351781

0.45 - (1.645 * 0.0351781) = 0.3921320255

0.45 + (1.645 * 0.0351781) = 0.5078679745

(0.392 ; 0.508)

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step-by-step explanation: