h} {5 points} Suppose a company wishes to determine the proportion of parts produced that have visible detects. It is estimated that t: of all parts have defects. How large of a sample must be taken if it is desired to estimate the proportion to within 3% using a sees condence interyal? c] [E points} A manufacturer of athletic shoes claims that the mean life of his shoes will exceed 5t} hours. The shoe life is known to be normally distributed with a standard deviation or: 5 hours. a researcher wishes to test the manufacturer's ctairn with a sample of 25 shoes at o=.'l. Compute the power of the test if the true mean life p = 5t hours. {Note that you only have to compute the power of the test in this problem} {Round your answer to four decimal places}