In order to find out the probability that a student will bring a car to campus,...

In order to find out the probability that a student will bring a car to campus, 100 students are polled. Of those students, 85 have cars to bring to campus.

a) Find a point estimate for the proportion of students who will bring a car to campus.

b) For the 95% confidence level, find zc, the critical value for the given confidence level.

c) For the 95% confidence level, find the error, E, for the confidence interval (round your answer to two decimal places).

d) Find the 95% confidence interval for the proportion of students who bring their car on campus.

e) Which of the following (1-4) is the correct interpretation of the confidence interval?

----1) We are 95% confident the proportion of students who will bring their car to campus is larger than .78.

----2) We are 95% confident the proportion of students who will bring their car to campus is between .78 and .92.

----3) We are 95% confident that the probability that a random student will bring a car to campus is between .78 and .92.

----4) The proportion of students who will bring their cars to campus is between .78 and .92.

f) The study that was done was a preliminary study and the school will need to repeat the poll to get a 95% confidence interval. What should be the sample size in order for the error to be less than .08?

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Expert Solution

orchestra answered 11 months ago

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