In: Statistics and Probability
An usher at a movie theater claims no more than half of all movie theater customers buy something at the refreshment stand. To test the claim, the usher observes a random sample of 80 people and finds that 47 of them buy something.
a) What is the Null Hypothesis and the Alternative Hypothesis for the usher's claim?
b) If we use a 0.01 significance level, what is the critical value for the test?
c) Calculate the value of the test statistic.
d) What is your decision about the null hypothesis and your conclusion about usher’s claim?
e) Calculate the p-value for this test.