A Single Population Mean Using the Student's t-Distribution · Exercise 25

In six packages of multicolored fruit snacks, there were five red snack pieces. The total number of snack pieces in the six bags was 68. We wish to calculate a 96 percent confidence interval for the population proportion of red snack pieces.

(a) Define the random variables X and P′ in words.
(b) Which distribution should you use for this problem? Explain your choice.
(c) Calculate p′.
(d) Construct a 96 percent confidence interval for the population proportion of red snack pieces per bag.
(a) State the confidence interval.
(b) Sketch the graph.
(c) Calculate the error bound.
(e) Do you think that six packages of fruit snacks yield enough data to give accurate results? Why or why not?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §8.2 A Single Population Mean Using the Student's t-Distribution · Exercise 25