16: How do you solve? According to a census company, 7.1% 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 higherpercentage of low-birth-weight babies. She randomly selected 350 births for which the mother was 35 to 39 years old and found 38 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 0.071, compute the expected number of low-birth-weight births to 35-to 39-year-old mothers. What is the expectednumber of births to mothers 35 to 39 years old that are not low birth weight?XIIBThe expected number of low-birth-weight births to 35- to 39-year-old mothers is.The expected number of births to mothers 35 to 39 years old that are not low birth weight is(Type integers or decimals.)(b) Answer the obstetrician's question at the x = 0.10 level of significance using the chi-square goodness-of-fit test. State the null and alternative hypotheses for this test.Ho:▼H₁: ▼0.0710.071Use technology to compute the P-value for this test. Use the Tech Help button for further assistance.P-value= (Round to three decimal places as needed.)State a conclusion for this test in the context of the obstetrician's question. Choose the correct answer below.O A. Do not reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babiesat the α = 0.10 level of significance.OB. Reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at thex = 0.10 level of significance.OC. Reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at theα = 0.10 level of significance.O D.Do not reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies atthe α = 0.10 level of significance. (c) Answer the obstetrician's question at the α = 0.10 level of significance using a z-test for a population proportion. State the null and alternative hypotheses for this test.Ho: ▼0.071H₁: ▼ ▼0.071Use technology to compute the P-value for this test. Use the Tech Help button for further assistance.P-value = (Round to three decimal places as needed.)State a conclusion for this test in the context of the obstetrician's question. Choose the correct answer below.O A. Reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at theα = 0.10 level of significance.OB. Do not reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies atthe α = 0.10 level of significance.O C. Reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at theα = 0.10 level of significance.O D. Do not reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babiesat the α = 0.10 level of significance.

Given that: Population proportion, p=0.071 Sample size, n=350 Number of low-birth-weight babies,…

According to a census company, 7.1% 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 350 births for which the mother was 35 to 39 years old and found 38 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 0.071, 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? CIES The expected number of low-birth-weight births to 35- to 39-year-old mothers is The expected number of births to mothers 35 to 39 years old that are not low birth weight is. (Type integers or decimals.) (b) Answer the obstetrician's question at the a=0.10 level of significance using the chi-square goodness-of-fit test. State the null and alternative hypotheses for this test. Ho: ▼ H₁: ▼ 0.071 0.071 Use technology to compute the P-value for this test. Use the Tech Help button for further assistance. P-value = (Round to three decimal places as needed.) State a conclusion for this test in the context of the obstetrician's question. Choose the correct answer below. O A. Do not reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babie at the a=0.10 level of significance. at th OB. Reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight b a=0.10 level of significance. OC. O D. Do not reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a=0.10 level of significance. Reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a=0.10 level of significance.