JUST HELP ME EXPLAINING ME HOW DO I GET THE P VALUE ON QUESTION 5

1. A cigarette company claims that their cigarettes contain an average of only 10 mg of tar. A random sample of 100 cigarettes shows the average tar content to be 11 mg with standard deviation 4.5 mg. Construct a hypothesis test to determine whether the average tar content of cigarettes exceeds 10 mg. Use a 1% level of significance.
2. What are the hypotheses?
3. What test do we use? What is the value of test statistic?
4. What is the rejection region?
5. What is the p-value?
6. What is the decision, reject H0 or not?
7. Interpret the decision in the context.
8. Suppose the true average content of tar is 10.5 mg. Did you make a mistake? If yes, what type of error is it? What is the probability of making this type of error?

1. H0: vs Ha:
2. Should use T test because population standard deviation is not given. But since sample size n=100>30 is large, we use Z test as an approximation.
3. z=2.22
4. Rejection region: 2.326
5. p-value = P(Z>2.22)=0.0132, where did he get that number? I DONT KNOW HOW TO FIND THE P VALUE