What is the value of the test statistic for this test?What is the pvalue for this test?Are the requirements for this test met? If so why?

Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effective for adults and children. You don't believe them and you think the drug they developed seems more effective for adults than it is for children. Remember, the drug will be considered to be more effective if fewer people become sick. To test this, you choose a simple random sample of 100 adults and 200 children from a population of 100,000 residents in a city. At the end of the study, you observe that 38 of the adults in the sample caught a cold; and 102 of the children in the sample caught a cold. Use a 0.05 level of significance. Define the difference as: Padults - Pchildren Use this information for the three parts below