A food company is planning to market a new type of frozen yogurt. However, before marketing this yogurt, the company wants to find what percentage of people might like it. The management has decided that it will market the yogurt only if at least 40% of people like it. The company's research department selected a random sample of 400 persons and asked them to taste this yogurt. Of these 400 people, 150 said they liked it. Testing at the 2.5% significance level, can you conclude that the company should market this yogurt? Use the p-value approach SHOW YOUR WORK -- i.e., exhibit each step in the process (info, including alpha-level, stating hypotheses, affirming conditions, finding SE, finding z, finding PERC, finding p-value, comparing with alpha-level (significance level), and stating a conclusion).

Conclusion: Based on our hypothesis test, we can conclude that the company ________