A sociologist claims that the average age at which women give birth is 21.7 years with population standard deviation, o = 4.6 years. The records of 100 births are examined and it is found that the average age is 20.3 years. Should we reject the sociologist's claims at the 1% level of significance? Conduct the hypothesis testing. a) State the null hypothesis and the alternative hypothesis. b) Find the critical value at a = 0.01. c) Calculate the test statistic. Is there enough evidence to support the claim? d) Make decision to reject or fail to reject the Ho. e) Interpret the decision base on the claim.