According to a census company, 7.1% of all babies bon 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 0.071, 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? The expected number of low-birth-weight births to 35- to 39-year-old mothers is 17.04 The expected number of births (Type integers or decimals.) mothers 35 to 39 years old that are not low birth weight is 222 96 (b) Answer the obstetrician's question at the a=0.05 level of significance using the chi-square goodness-of-fit test. State the null and altermative hypotheses for this test Hg P 0.071 H P 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 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 0.071, 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?
The expected number of low-birth-weight births to 35- to 39-year-old mothers is 17.04
The expected number of births to mothers 35 to 39 years old that are not low birth weight is 222.96
(Type integers or decimals.)
(b) Answer the obstetrician's question at the a=0.05 level of significance using the chi-square goodness-of-fit test. State the null and altermative hypotheses for this test.
Ho: P
0.071
H1: P
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.)
Transcribed Image Text: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 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 0.071, 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? The expected number of low-birth-weight births to 35- to 39-year-old mothers is 17.04 The expected number of births to mothers 35 to 39 years old that are not low birth weight is 222.96 (Type integers or decimals.) (b) Answer the obstetrician's question at the a=0.05 level of significance using the chi-square goodness-of-fit test. State the null and altermative hypotheses for this test. Ho: P 0.071 H1: P 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.)
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