question archive “Domestic cats kill many more wild birds in the United States than scientists thought,” states a recent article
“Domestic cats kill many more wild birds in the United States than scientists thought,” states a recent article
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“Domestic cats kill many more wild birds in the United States than scientists thought,” states a recent article.1 Researchers used a sample of n=140 households in the US with cats to estimate that 35% of household cats in the US hunt outdoors.
(a) Find a 95% confidence interval for the proportion of household cats in the US that hunt outdoors.
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Answer:
a) Z score for 95% confidence interval = Z0.025 = 1.96
p = 0.35
n = 140
Confidence interval = (p + Z0.025 * sqrt(p * (1 - p) / n))
= (0.35 + 1.96 * sqrt(0.35 * 0.65 / 140))
= (0.35 + 0.079)
= (0.271 , 0.429)
