The large shipments of “Mix RW” balloons sold by Thibodaux Wholesale Party Supply are supposed to contain equal numbers of red and white balloons. Before a shipment is sent off, a quality control inspector takes a random sample of 200 balloons from the shipment and counts the number of balloons in the sample that are red. Your job is to set up a hypothesis test to test a null hypothesis that exactly 50% of the balloons in the shipment— no more and no less— are red. The significance level for the test will be .05.
a. Show the null and alternative hypotheses.
b. Suppose a particular sample of 200 contains 112 red balloons. Compute the pvalue for the sample result and explain what it means.
c. Use the pvalue from part b to decide whether you will reject the null hypothesis. Explain your decision.