A recent report estimated that 25% of all college students in the United States have a...

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A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). Due to the demographics of the community, the director of the campus health center believes that the proportion of students who have a STD is lower at his college. He tests H,: p= 0.25 versus H: p <0.25. The campus health center staff select a random sample of 50 students and determine that 18% have been diagnosed with a STD. Is the sample size condition for conducting a hypothesis test for a population proportion satisfied? A. O No, because 50 students is not enough to be representative of the students at the college B. O No, because (50) (0.18) is less than 10. Because of this the sample size is too small to use the normal distribution to model the distribution of sample proportions. C. O Yes, because the sample is random. It represents the college students at this campus. D. O Yes, because (50)(25) and (50)(1-0.25) are both at least 10. This means we can use the normal distribution to model the distribution of sample proportions. A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). Due to the demographics of the community, the director of the campus health center believes that the proportion of students who have a STD is lower at his college. He tests H,: p= 0.25 versus H: p <0.25. The campus health center staff select a random sample of 50 students and determine that 18% have been diagnosed with a STD. Is the sample size condition for conducting a hypothesis test for a population proportion satisfied? A. O No, because 50 students is not enough to be representative of the students at the college B. O No, because (50) (0.18) is less than 10. Because of this the sample size is too small to use the normal distribution to model the distribution of sample proportions. C. O Yes, because the sample is random. It represents the college students at this campus. D. O Yes, because (50)(25) and (50)(1-0.25) are both at least 10. This means we can use the normal distribution to model the distribution of sample proportions.

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