Computing the value of sample test statistic

Reference no: EM1317252

Q1) Students in a randomly selected class at Circus Ole University made blinded evaluations of pairs of cola drinks. For 49 comparisons of Coke and Pepsi, Pepsi was preferred 31 times.

a) Is above information enough as given for you to be totally certain that more than 50% of students prefer Pepsi over Coke? Explain why or why not?

b) In establishing statistical hypothesis testing of this situation, provide required null and alternative hypotheses for test in which claim is that a majority of students perfer Pepsi over Coke.

H0:

H1:

c) Based on the answer in part b, must you use right-tailed, a left-tailed, or a two-tailed test? Describe how one determines which of three possibilities is to be used.

d) Explain possible Type I error for this situation--be sure to state error in terms of student's preference of Pepsi over Coke.

e) Explain Type II error possible in this situation--be sure to state error in terms of student's preference of Pepsi over Coke.

f) Find out the suitable critical value(s) for this situation given a 0.05 significance level.

g) Find out/compute the value of sample test statistic.

h) Determine the P-value.

i) Based on your work above, is there statistically enough evidence to support that more than 50% of students prefer Pepsi over Coke?? Briefly describe your reasoning.

Reference no: EM1317252

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