More and more people are abandoning national brand products and buying store brand products to save money. The president of a company that produces national brand coffee claims that 56% of the people prefer to buy national brand coffee. A random sample of 100 people who buy coffee showed that 52 of them buy national brand coffee. Using a 5% significance level, can you conclude that the percentage of people who buy national brand coffee is different from 56%? a) Step 1: State the null and alternative hypotheses. b)Step 2: Write down (i) the appropriate test statistic (formula) (ii) and the rejection region of your test (report z critical(s)) c) Step 3: Compute the value of the test statistic (z observed) d)Step 4: State your conclusion: (i) Reject Ho Do not reject Ho (Just circle the answer ) (ii )in one sentence apply the results to the problem. (iii) What type of mistake could you have made in your hypothesis test? (Just circle the correct answer) Type I Type II None e)Step 5: (i)Compute the p- value for this test. (ii) What is your decision ? Reject Ho Do not reject Ho (Just circle the correct answer)