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16: How do you solve?

16: How do you solve?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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16: How do you solve?
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 28 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? 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 α = 0.05 level of significance using the chi-square goodness-of-fit test. State the null and alternative hypotheses for this test. Ho: ▼ H₁: ▼ ▼0.101 0.101 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 babies at the x = 0.05 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 the α = 0.05 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 the x = 0.05 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 at the α = 0.05 level of significance.
Transcribed Image Text: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 28 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? 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 α = 0.05 level of significance using the chi-square goodness-of-fit test. State the null and alternative hypotheses for this test. Ho: ▼ H₁: ▼ ▼0.101 0.101 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 babies at the x = 0.05 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 the α = 0.05 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 the x = 0.05 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 at the α = 0.05 level of significance.
(c) Answer the obstetrician's question at the α = 0.05 level of significance using a z-test for a population proportion. State the null and alternative hypotheses for this test. Ho: ▼ 70.101 H₁: ▼ 0.101 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. 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 x = 0.05 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 the α = 0.05 level of significance. OC. 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 babies at the x = 0.05 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 at the x = 0.05 level of significance.
Transcribed Image Text:(c) Answer the obstetrician's question at the α = 0.05 level of significance using a z-test for a population proportion. State the null and alternative hypotheses for this test. Ho: ▼ 70.101 H₁: ▼ 0.101 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. 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 x = 0.05 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 the α = 0.05 level of significance. OC. 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 babies at the x = 0.05 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 at the x = 0.05 level of significance.
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