The owner of the Pizza Shack in Exercises 9.171 and 9.172 does not understand the use of the normal distribution and z in Exercise 9.172.

Help the manager interpret the meaning of the results by redoing both hypothesis tests using x 

number of customers preferring the new crust as the test statistic and its binomial probability distribution.

Use a one-tailed test with Ha: p  0.50 and.  0.02.

The results were as follows: on Tuesday afternoon, they sampled 15 customers and 9 preferred the new pizza crust; on Friday evening, they sampled 200 customers and found 120 preferred the new pizza crust.

a. Is there sufficient evidence to conclude a significant preference for the new crust based on Tuesday’s customers?

b. Is there sufficient evidence to conclude a significant preference for the new crust based on Friday’s customers?

c. Explain the relationship between the solutions obtained in Exercise 9.172 and here.