Scenario: In the United States, mothers who live in poverty generally have babies with lower birth weights than women who do not live in poverty. The average birth weight for babies of women living in poverty is 2800 grams. Recently, a local hospital introduced an innovative prenatal care program to reduce the number of low birth weight babies born in the hospital. In the first year, 35 mothers, all of whom live in poverty, were randomly selected to participate in the program. The mean birth weight for the sample was 3021.4 grams with a standard deviation of 353.6. The program would like the answer the following question: "Is the mean birth weight for babies of mothers in the prenatal care program higher than the national average?" The significance level is 0.05. Part A: What are the null and alternative hypotheses for the test? Ho: Select an answer ✓ ? ✓ HA: Select an answer 2 grams grams Part B: Are the assumptions/conditions for a one-sample hypothesis test for means met? Explain. O The first assumption (random sample) is not met given the description of the data in the scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The second assumption (large sample size) is met with n = 35. O The first assumption (random sample) is not met given the description of the data in the scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The second assumption (large sample size) is also not met with n = 35. O The first assumption (random sample) is met given the description of the data in the scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The second assumption (large sample size) is met with n = 35. O The first assumption (random sample) is met given the description of the data in the scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The second assumption (large sample size) is not met with n = 35.

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Scenario: In the United States, mothers who live in poverty generally have babies with lower birth
weights than women who do not live in poverty. The average birth weight for babies of women living
in poverty is 2800 grams. Recently, a local hospital introduced an innovative prenatal care program
to reduce the number of low birth weight babies born in the hospital. In the first year, 35 mothers,
all of whom live in poverty, were randomly selected to participate in the program. The mean birth
weight for the sample was 3021.4 grams with a standard deviation of 353.6. The program would
like the answer the following question: "Is the mean birth weight for babies of mothers in the
prenatal care program higher than the national average?" The significance level is 0.05.
Part A: What are the null and alternative hypotheses for the test?
Ho: Select an answer ✓ ? ✓
HA: Select an answer ?
grams
grams
Part B: Are the assumptions/conditions for a one-sample hypothesis test for means met? Explain.
O The first assumption (random sample) is not met given the description of the data in the
scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected...").
The second assumption (large sample size) is met with n = 35.
O The first assumption (random sample) is not met given the description of the data in the
scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected...").
The second assumption (large sample size) is also not met with n = 35.
O The first assumption (random sample) is met given the description of the data in the scenario
("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The
second assumption (large sample size) is met with n = 35.
O The first assumption (random sample) is met given the description of the data in the scenario
("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The
second assumption (large sample size) is not met with n = 35.
Transcribed Image Text:Scenario: In the United States, mothers who live in poverty generally have babies with lower birth weights than women who do not live in poverty. The average birth weight for babies of women living in poverty is 2800 grams. Recently, a local hospital introduced an innovative prenatal care program to reduce the number of low birth weight babies born in the hospital. In the first year, 35 mothers, all of whom live in poverty, were randomly selected to participate in the program. The mean birth weight for the sample was 3021.4 grams with a standard deviation of 353.6. The program would like the answer the following question: "Is the mean birth weight for babies of mothers in the prenatal care program higher than the national average?" The significance level is 0.05. Part A: What are the null and alternative hypotheses for the test? Ho: Select an answer ✓ ? ✓ HA: Select an answer ? grams grams Part B: Are the assumptions/conditions for a one-sample hypothesis test for means met? Explain. O The first assumption (random sample) is not met given the description of the data in the scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The second assumption (large sample size) is met with n = 35. O The first assumption (random sample) is not met given the description of the data in the scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The second assumption (large sample size) is also not met with n = 35. O The first assumption (random sample) is met given the description of the data in the scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The second assumption (large sample size) is met with n = 35. O The first assumption (random sample) is met given the description of the data in the scenario ("In the first year, 35 mothers, all of whom live in poverty, were randomly selected..."). The second assumption (large sample size) is not met with n = 35.
Part C: What is the P-value for the test? Round to four decimal places.
Part D: Determine whether this statement is true or false: This finding is statistically significant (at
the 0.05 level).
Select an answer
Part E: What is the conclusion of the test in the context of the data? Fill in the blanks.
I conclude that the P-value is Select an answer 0.05, so I Select an answer the null hypothesis.
There is Select an answer evidence to conclude that the mean birth weight for babies of mothers in
the prenatal care program is Select an answer the national average.
Transcribed Image Text:Part C: What is the P-value for the test? Round to four decimal places. Part D: Determine whether this statement is true or false: This finding is statistically significant (at the 0.05 level). Select an answer Part E: What is the conclusion of the test in the context of the data? Fill in the blanks. I conclude that the P-value is Select an answer 0.05, so I Select an answer the null hypothesis. There is Select an answer evidence to conclude that the mean birth weight for babies of mothers in the prenatal care program is Select an answer the national average.
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