The document discusses estimating the sample size needed for a survey to estimate the proportion of students at a university who have traveled abroad. It states that the investigator wants to be 98% confident that the estimation error is no more than 0.02, and it is thought that the proportion of students who have traveled abroad is around 0.35. It then provides the formula to calculate the required sample size and works through an example, finding that a sample size of 3088 would be needed.
c). Using = .01 would you ACCEPT or REJECT the null hypothesis (ci.pdf
1. c). Using ? = .01 would you ACCEPT or REJECT the null hypothesis (circle one)
3). An investigator wishes to estimate the proportion of students at a university who have
traveled
abroad. How large a sample should be taken if he wishes to be 98% confident that the estimation
error is no more than .02. Use the fact that is thought that the proportion is in the region of 0.35.
(also 99%, .03, .4 and 95%, .04, .2)
n = __________
please work out I dont know how to get Z
Solution
Given a=0.02, |Z(0.01)|=2.33 (check standard normal table) So n=(Z/E)^2*p*(1-p)
=(2.33/0.02)^2*0.35*(1-0.35) = 3087.687 Take n= 3088
