A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 728 hours. A random sample of 28 light bulbs has a mean life of 699 hours. Assume the population is normally distributed and the population standard deviation is 60 hours. At or = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. Ho: pSGQS H0: p 699 (claim) Ha: 112699 Ha:p 728 HO: p= 699 Ha: p=728 Ha: 115728 (claim) Ha: p699 (claim) (b) Identify the critical value(s). Use technology. 20 = 2.05 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. v Fail to reject H0. Q Fail to reject HO. Q Fail to reject H0. Q Reject H0. Reject H0. Reject H0. Reject H0. lZi' l3 IZ' z z z -4 0 4 -4 0 4 -4 O 4 (0) Identify the standardized test statistic. Use technology. z = (Round to two decimal places as needed.)