Olivia is still an assistant manager at that fast food restaurant in Kissimmee.This time, she has been getting complaints from customers and employees that the salt shakers on the tables are defective.Every day, there seems to be at least one salt shaker that the bottom falls off when someone picks it up; all the salt spills out, usually on someone's food, and she has to apologize for the mistake and get the customer new food.

After looking into the company that makes the salt shakers, she finds that the company expects that 6% of their salt shakers will be defective; they can't help it - that 's just the way things go.But Olivia thinks that this is too low of a figure; she's seen waaaay too many broken salt shakers to believe them.She replaces all of the salt shakers in the restaurant with a new batch of 30 new shakers from the company and keeps a count of how many defectives she finds.She ends up finding that 9% of this batch of salt shakers was defective.After doing the math, this had a p-value of 0.046.

questions:

- Does Olivia have enough evidence to say that the salt shaker manufacturer is lying about the 6% defect rate? (Don't do any new math; the information given is enough to make this decision). How can you tell?

- What does the p-value of 0.046 really mean?What is this p-value measuring?

- (Here it comes...)Imagine you are Olivia.You emailed the salt shaker manufacturer and told them what you found.This was their reply: "Come on... your batch was 9% defective?So what?I know we said it would only be 6%, but really?That's not so bad.It's close enough.We're not in the wrong here.Sometimes things are defective - that's life."Write a one-paragraph response to the manufacturer(as Olivia) explaining what you found in your experiment, giving the sample proportion and p-value, and interpreting the results to them.Help them understand what the numbers are showing about their salt shakers.