Huang Burton
06/28/2024 · Junior High School
In the population of Betta Imbellis (wild caught bettas, the Siamese Fighting Fish). Let \( p \) be the true proportion of those fishes that carry the green pigments in their eyes. A) In a random sample of 102 bettas, 30 of them carry the green pigments in their eyes. Construct a(n) \( 99 \% \) confidence interval to estimate \( p \). \( \mathrm{z}_{\mathrm{c}}=2.5758 . \quad \) (Round to 4 decimal places) The interval: \( 0.2941 \pm \square \) (Round \( E \) to 4 decimal places) The interval in traditional format:
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The confidence interval for the true proportion \( p \) is \( 0.2941 \pm 0.1165 \), which translates to \( (0.1776, 0.4106) \).
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