Rochelle was curious about the gender ratio in mechanical engineering versus chemical engineering in American universities. She obtained separate random samples of 30 students from each field of study. She found that 5 of the mechanical engineering students in her sample were female, and 10 of the chemical engineering students in her sample were female. She plans to use these results to make a two-sample zzz interval to estimate the difference between the proportion of females in each field of study. Which conditions for constructing this type of interval did Rochelle's samples meet? I. Both samples were randomly selected from their populations. II. The counts of successes and failures are sufficiently large

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Rochelle was curious about the gender ratio in mechanical engineering versus chemical engineering in American universities. She obtained separate random samples of 30 students from each field of study. She found that 5 of the mechanical engineering students in her sample were female, and 10 of the chemical engineering students in her sample were female. She plans to use these results to make a two-sample zzz interval to estimate the difference between the proportion of females in each field of study. Which conditions for constructing this type of interval did Rochelle's samples meet? I. Both samples were randomly selected from their populations. II. The counts of successes and failures are sufficiently large in each sample. III. Individual observations in each sample can be considered independent, and the samples themselves are independent.
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