A national caterer determined that 85% of the people who sampled their food said that it was delicious. A random sample of 121 people is obtained. The 121 people are asked to sample the caterer's food. Let p^ be the sample proportion saying that the food is delicious. You want to find the probability that more than 80% of the people say that the food is delicious.

1. Calculate np and n(1 p). Do not round your answers.

2. How do you know that the conditions for the normal approximation to the binomial met? The values for np and n(1 p) are greater / less than or equal to the number ___ ?

3. Find the mean of the sample proportions

4. Find the standard deviation of the sample proportions. Round to 3 decimal places as needed.

5. Find the z-score for the given value of p^. Round to 2 decimal places as needed.

6. Find the probability that more than 80% of the people say that the food is delicious. Give your answer to 4 decimal places.

Thank you!