Suppose it was found that in a random sample of 200 individuals who were underweight (defined as having a BMI of under 18.5), 8 of them were hospitalized with COVID-19. Of a corresponding group of 400 individuals who were classified as severely obese (defined as having a BMI of at least 45.0), 32 were hospitalized with COVID-19. (a) What are the two sample proportions (to 4 decimal places)? (b) What is the difference between the two sample proportions (to 4 decimal places)? (c) If you were testing whether the probability of being hospitalized with COVID-19 differed between the population of underweight individuals and the population of severely obese individuals, what would be your null hypothesis, either in words or in mathematical terms?
Suppose it was found that in a random sample of 200 individuals who were underweight (defined as having a BMI of under 18.5), 8 of them were hospitalized with COVID-19. Of a corresponding group of 400 individuals who were classified as severely obese (defined as having a BMI of at least 45.0), 32 were hospitalized with COVID-19.
(a) What are the two sample proportions (to 4 decimal places)?
(b) What is the difference between the two sample proportions (to 4 decimal places)?
(c) If you were testing whether the probability of being hospitalized with COVID-19 differed between the population of underweight individuals and the population of severely obese individuals, what would be your null hypothesis, either in words or in mathematical terms?
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