How do I rewrite the confidence interval (0.0268, 0.133) in the form of #hatp - E < p < hatp + E#?
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To rewrite the confidence interval (0.0268, 0.133) in the form of hatp - E < p < hatp + E, where hatp is the point estimate and E is the margin of error:
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Find the point estimate (hatp) by taking the average of the lower and upper bounds of the confidence interval: hatp = (0.0268 + 0.133) / 2 = 0.0799.
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Find the margin of error (E) by subtracting the lower bound from the point estimate (or alternatively, subtracting the point estimate from the upper bound): E = 0.0799 - 0.0268 = 0.0531.
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Rewrite the confidence interval in the desired form: 0.0799 - 0.0531 < p < 0.0799 + 0.0531.
Therefore, the confidence interval in the form of hatp - E < p < hatp + E is: 0.0268 < p < 0.133.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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