According to a census company, 10.1% of all babies born are of low birth weight. an obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies. she randomly selected 240 births for which the mother was 35 to 39 years old and found 26 low-birth-weight babies. complete parts (a) through (c) below. a)-if the proportion of low-birth-weight babies for mothers in this age group is 0.101, compute the expected number of low-birth-weight births to 35- to 39-year-old mothers. what is the expected number of births to mothers 35 to 39 years old that are not low birth weight? b)- answer the obstetrician's question at the alpha equals α=0.10 level of significance using the chi-square goodness-of-fit test. state the null and alternative hypotheses for this test. -use technology to compute the p-value for this test. -state a conclusion for this test in the context of the obstetrician's question. c)-answer the obstetrician's question at the alpha equals α=0.10 level of significance using a z-test for a population proportion. state the null and alternative hypotheses for this test. -use technology to compute the p-value for this test. -state a conclusion for this test in the context of the obstetrician's question.