Computational Statistics

The manufacturer of a popular soda drink claims that oneoutofve {20%} bottles of soda have a special bottlecap with a message to obtain a free bottle of soda. A grou p of students who frequently consume this soda drink believes that the true proportion is less than 20%. Over several weeks, the students obtain 64 bottles of soda, of which 3 bottles had a special bottlecap. The students will test whether the data provide convincing evidence that the true proportion of bottles with a special bottlecap is less than 0.20. A signicance level ofct = 0.05 is used. It is assumed that the 64 bottles of soda is a random sample of all such soda bottles. Find the point estimate for p, the test statistic and pvalue for this test. Assume all conditions for the test have been met. The point estimate for p is n . Enter you r answer using three decimal places The test statistic isz = n . Enter your answer usingtwo decimal places The pvalue is n . Enter your answer using three decimal places eTextbool-c and Media