A lecturer is interested in the proportion, of students at a college, who take notes using a laptop. Of the 80 randomly sampled students, 52 responded that they take notes using a laptop.

Assume this college has a population of 10,000 students.

In this question, use a MINIMUM OF 4 DECIMAL PLACES in all your calculations.

a) What is the value of the sample proportion of students who take notes using a laptop? Give your value to 4 decimal places.

b) Check conditions for proportions.

c) Construct and interpret a 95% confidence interval for the population proportion. SHOW BRIEF WORKINGS TO SUPPORT YOUR ANSWER.