In a survey of 500 residents in a certain town, 274 said they were opposed to constructing a new shopping mall. Can you conclude that more than half of the residents in this town are opposed to constructing a new shopping mall?

(a) Define the hypotheses to be tested.

(b) Define the appropriate test statistic and compute its value.

(c) Find the critical value(s) and the critical region to a 1% level of significance

(d) Decide whether or not to reject the null hypothesis.

(e) What is your conclusion in terms of the original problem?