Ok if someone could check my work for this problem, it'd be greatly appreciated. It's one problem with 4 parts to it.
At a university, 60% of the 7,400 students are female. The student newspaper reports results of a survey of a random sample of 50 students about various topics involving alcohol abuse, such as participation in binge drinking. They report that their sample contained 26 females.
A) Explain how you can set up a binary random variable X to represent gender.
For this I thought X = voting outcome, with x = 0 for males and x = 1 for females.
B) Identify the population distribution of gender at this university.
For this, I thought it would be the 7400 students that attend the university.
C) Identify the data distribution of gender for this sample.
This one was a bit confusing for me but as 50 students are being sampled, I thought it was 52% for females and 48% being male.
D) Identify the sampling distribution of the sample proportion of females in the sample. State its mean and standard error for a random sample of size 50.
Assuming they are deriving from the data for the study, I thought the mean would be .52 for females. For standard error, I applied the formula sq.rt. p(1-p)/n = sq. rt. .52 (.48)/50 = .07.
If someone could look over my answers and let me know if I'm on the right track, it'd be greatly appreciated!
At a university, 60% of the 7,400 students are female. The student newspaper reports results of a survey of a random sample of 50 students about various topics involving alcohol abuse, such as participation in binge drinking. They report that their sample contained 26 females.
A) Explain how you can set up a binary random variable X to represent gender.
For this I thought X = voting outcome, with x = 0 for males and x = 1 for females.
B) Identify the population distribution of gender at this university.
For this, I thought it would be the 7400 students that attend the university.
C) Identify the data distribution of gender for this sample.
This one was a bit confusing for me but as 50 students are being sampled, I thought it was 52% for females and 48% being male.
D) Identify the sampling distribution of the sample proportion of females in the sample. State its mean and standard error for a random sample of size 50.
Assuming they are deriving from the data for the study, I thought the mean would be .52 for females. For standard error, I applied the formula sq.rt. p(1-p)/n = sq. rt. .52 (.48)/50 = .07.
If someone could look over my answers and let me know if I'm on the right track, it'd be greatly appreciated!