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Justifying Claims Based on Confidence Interval Practice Test
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Q1
Two brands of batteries are tested for the proportion that last at least 10 hours. A 95% confidence interval for the difference in proportions, defined as $p_{X} - p_{Y}$ (Brand X minus Brand Y), is $(-0.20, -0.05)$. A consumer claims, “Brand X has a lower proportion lasting at least 10 hours than Brand Y.” Is the claim supported by the confidence interval?
Two brands of batteries are tested for the proportion that last at least 10 hours. A 95% confidence interval for the difference in proportions, defined as $p_{X} - p_{Y}$ (Brand X minus Brand Y), is $(-0.20, -0.05)$. A consumer claims, “Brand X has a lower proportion lasting at least 10 hours than Brand Y.” Is the claim supported by the confidence interval?