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Let’s say we become genetic science geniuses, and we learn how to make super-delicious, superfood blueberries....

Let’s say we become genetic science geniuses, and we learn how to make super-delicious, superfood blueberries. Given our first crop produces 412 high-nutrition blueberries and 135 low-nutrition blueberries, use a 5% level of significance to test if more than 70% of our berries are high-nutrition. (Demonstrate all 5 hypothesis testing steps, with p-values, critical values, and confidence intervals.)

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Answer #1

Sample size: n = 412+135 = 547

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Conclusion: There is evidence to conclude that more than 70% of our berries are high-nutrition.

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The 95% confidence interval is:

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