[Steps Shown] A machine is set to produce tennis balls such that 50% are yellow and 50% are green. The supervisor thinks the percentage of yellow halls has
Question: A machine is set to produce tennis balls such that 50% are yellow and 50% are green. The supervisor thinks the percentage of yellow halls has changed and that it is less than 50%. As an experiment, 142 balls were taken from the production line and the percentage of yellow balls was 47.5%, with a standard deviation of 1.5%. Can the supervisor conclude from this experiment that the percentage of yellow tennis balls is in fact less than 50%?
Null Hypothesis: \({{H}_{0}}:\mu =50\)
Alternative Hypothesis: \({{H}_{A}}:\mu <50\)
Test statistic: -19.8606
P-value: 0.000
Conclusion: We have enough evidence to support the claim that the percentage of yellow tennis balls is in fact less than 50%.
Deliverable: Word Document 