(a) Describe Type I and Type II errors. (b) In a poll of college athletes in 2003, 76% of the athletes declared that their favourite brand of shoe was Brand X. The manufacturer of Brand X is...

Extracted text: (a) Describe Type I and Type II errors. (b) In a poll of college athletes in 2003, 76% of the athletes declared that their favourite brand of shoe was Brand X. The manufacturer of Brand X is interested to know whether this is still the case. Therefore, 120 athletes are polled, and 73.3% declared that they prefer Brand X. The manufacturer then performs a hypothesis test at the 10% level of significance. Infer what is the manufacturer's conclusion? [10 marks]