The 49 students in a class at the University of Florida made blinded evaluations of pairs of cola drinks. For the 49 comparisons of Coke and Pepsi, Coke was preferred 29 times. In the population that this sample represents, is this strong evidence that a majority prefers one of the drinks? Refer to the following MINITAB printout.

Test and CI for One Proportion

Test and CI for One Proportion

a. Explain how to get the test statistic value that MINITAB reports.
b. Explain how to get the P-value. Interpret it.
c. Based on the result in part b, does it make sense to accept H₀? Explain.
d. What does the 95% confidence interval tell you that the test does not?

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Test of p = 0.5 vs. p > 0.5 P-Value Sample p 95% Lower Bound Z-Value 29 49 0.591837 Using the normal approximation 0.099 0.476346 1.29 Test of p = 0.5 vs. p + 0.5 X N Sample p |29 49 0.591837 (0.454221, 0.729452) 95% CI Z-Value P-Value 1.29 0.199 Using the normal approximation