(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: H0: p = 0.071 Ha: 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.] State a conclusion for this test in the context of the obstetrician's question. Choose the correct answer below: 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 = 0.10 level of significance. 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 = 0.10 level of significance. 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 = 0.10 level of significance. 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 α = 0.10 level of significance.
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- Null hypothesis (\(H_0\)): \( p = 0.071 \) - Alternative hypothesis (\(H_1\)): \( p \ne 0.071 \) Show more…
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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 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 0.101 , 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 ?=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 ?=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.
Sri K.
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 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 0.101, 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 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 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.
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(a) Determine the null and alternative hypotheses, (b) explain what it would mean to make a type I error, and (c) explain what it would mean to make a type II error. Six years ago, 12.3% of registered births were to teenage mothers. A sociologist believes that the percentage has increased since then. (a) Which of the following is the hypothesis test to be conducted? A. H0: p = 0.123, H1: p < 0.123 B. H0: p = 0.123, H1: p > 0.123 C. H0: p = 0.123, H1: p ≠ 0.123 (b) Which of the following is a type I error? A. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 12.3%, when the true percentage is greater than 12.3%. B. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 12.3%, when the true percentage is greater than 12.3%. C. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 12.3%, when it is the true percentage. (c) Which of the following is a type II error? A. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 12.3%, when it is the true percentage. B. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 12.3%, when it is the true percentage. C. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 12.3%, when the true percentage is greater than 12.3%
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