You estimate that the proportion of viable hybrid offspring from this female is $p-$ hat $=0.53$ and the $95 \%$ confidence interval for $p$ - hat is $0.40-0.65$. Based on these results, would you conclude that hybrid offspring from this fly are less viable than offspring from typical crosses within species?

Question

Accepted Answer

∻Answer∻ ⚹ Yes, based on these results, one could conclude that hybrid offspring from this fly are less viable than offspring from typical crosses within species. ⚹ ∻Solution∻ ‖ a ⋮ Interpretation of Confidence Interval: The provided 95% confidence interval for the proportion of viable hybrid offspring ($\hat{p}$) is 0.40 to 0.65. ‖ ‖ b ⋮ Comparison with Typical Crosses: To conclude that hybrid offspring are less viable, the proportion of viable offspring from typical crosses within species should be outside the confidence interval and higher than 0.65. ‖ ∻Key Concept∻ ⚹ Confidence Interval Interpretation ⚹ ∻Explanation∻ ⚹ The confidence interval gives a range within which the true proportion of viable offspring is likely to fall 95% of the time. If the proportion of viable offspring from typical crosses is known to be higher than 0.65, then the hybrid offspring from this fly would be considered less viable. ⚹◊What is the significance of the confidence interval of $p$ - hat in determining the viability of hybrid offspring?⍭ Generate me a similar question◊

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