At a university, 60% of 7,400 students are female. The student newspaper reports results of a survey of a random sample of 200 students about various topics involving alcohol abuse, such as participation in binge drinking. a. Using the binomial distribution, find the probability that at most 104 students in a sample of 200 are female. b. Describe the sampling distribution of the sample proportion of females in samples of size 200 at this university. c. Suppose that out of a sample of 200 students, 52% are female (which is 104 out of 200). Find the probability that the sample proportion of females for a random sample of 200 students is at most 0.52. d. Find the probability that between 50 and 60 percent of students in a random sample of 200 are female.
At a university, 60% of 7,400 students are female. The student newspaper reports results of a survey of a random sample of 200 students about various topics involving alcohol abuse, such as participation in binge drinking.
a. Using the binomial distribution, find the
b. Describe the sampling distribution of the sample proportion of females in samples of size 200 at this university.
c. Suppose that out of a sample of 200 students, 52% are female (which is 104 out of 200). Find the probability that the sample proportion of females for a random sample of 200 students is at most 0.52.
d. Find the probability that between 50 and 60 percent of students in a random sample of 200 are female.
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