A taste test is conducted between two brands of diet cola, Brand A and Brand B, to determine if there is evidence that more people prefer Brand A. A total of 100 people participate in the taste test.

(a) Define the relevant parameter(s) and state the null and alternative hypotheses.

(b) Give an example of possible sample results that would provide strong evidence that more people prefer Brand A. (Give your results as number choosing Brand A and number choosing Brand B.)

(c) Give an example of possible sample results that would provide no evidence to support the claim that more people prefer Brand A.

(d) Give an example of possible sample results for which the results would be inconclusive: The sample provides some evidence that Brand A is preferred but the evidence is not strong.