If you are trying to do a confidence interval for a sample proportion, ^p (bar)= z times the standard error of the proportion. Why does mean=p in a sample proportion?
Please give a detailed explanation, i do not understand it. Thank you!
Please give a detailed explanation, i do not understand it. Thank you!
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Olivia -
Let's say that a survey was done at a high school and it was found that out of the school's 1000 students, 250 said that they smoke cigarettes. So, the mean proportion of students that smoke is 250 out of 1000 or 25%. So, this estimate might not be "perfect" and the actual number of smokers might range from 225 to 275 with some confidence say 90% and it translates into 0.25 +/- 0.025.
Think of the mean proportion as the expected percentage. Here it was 25% of high school students smoke.
Hope that helped
Let's say that a survey was done at a high school and it was found that out of the school's 1000 students, 250 said that they smoke cigarettes. So, the mean proportion of students that smoke is 250 out of 1000 or 25%. So, this estimate might not be "perfect" and the actual number of smokers might range from 225 to 275 with some confidence say 90% and it translates into 0.25 +/- 0.025.
Think of the mean proportion as the expected percentage. Here it was 25% of high school students smoke.
Hope that helped