Researchers are comparing the rates at which two different hospitals successfully treat a certain infection. Hospital XX treated 950950 patients and had 320320 successful recoveries. Hospital YY treated 780780 patients and had 255255 successful recoveries. At the 0.050.05 significance level, test whether the success rates are the same for both hospitals using (a) randomization and (b) bootstrapping.

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1. Intro to Stats and Collecting Data(0)

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Levels of Measurement
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Visualizing Qualitative vs. Quantitative Data
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Two Proportions
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Two Means - Unknown, Unequal Variance
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Problem 49Multiple Choice

Researchers are comparing the rates at which two different hospitals successfully treat a certain infection. Hospital $X$ treated $950$ patients and had $320$ successful recoveries. Hospital $Y$ treated $780$ patients and had $255$ successful recoveries. At the $0.05$ significance level, test whether the success rates are the same for both hospitals using (a) randomization and (b) bootstrapping.

Both methods provide evidence that the success rates are significantly different.

The randomization test shows significance, but the bootstrap method does not.

The bootstrap method shows significance, but the randomization test does not.

Neither method shows a statistically significant difference in success rates.

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