You work for Biotech Company which has developed an artificial heart. You would like to test whether or not less than 10% of these hearts will fail after ten years. You plan on testing this using sample of 300 of these artificial hearts. Plan on using 95% confidence. Determine the probability of a type 1 error if in fact such artificial hearts have a 10% failure rate after 10 years? Determine the probability of a type 2 error if in fact these artificial hearts have a 6% failure rate after 10 years?