In the United States, mothers who live in poverty generally have babies with lower birthweight than those who do not live in poverty. While the average birthweight for babies born in the U.S. is approximately 3300 grams, the average birthweight for women living in poverty is 2800 grams. Recently, a local hospital introduced an innovative new prenatal care program to reduce the number of low birthweight babies born in the hospital. In the first year, 25 mothers, all of whom live in poverty, participated in this program. Data drawn from hospital records reveals that the babies born to these women had a birthweight of 3075 grams with a standard deviation of 500 grams. Conduct the hypothesis test to examine if this program has been effective at improving the birthweights of babies born to poor women. Note. Choose appropriate test of one-tail or two-tail test based on the research question provided. Write out the null and alternative hypotheses. Compute the test statistic and make a decision regarding the null hypothesis using α=0.05.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In the United States, mothers who live in poverty generally have babies with lower birthweight than those who do not live in poverty. While the average birthweight for babies born in the U.S. is approximately 3300 grams, the average birthweight for women living in poverty is 2800 grams. Recently, a local hospital introduced an innovative new prenatal care program to reduce the number of low birthweight babies born in the hospital. In the first year, 25 mothers, all of whom live in poverty, participated in this program. Data drawn from hospital records reveals that the babies born to these women had a birthweight of 3075 grams with a standard deviation of 500 grams. Conduct the hypothesis test to examine if this program has been effective at improving the birthweights of babies born to poor women. Note. Choose appropriate test of one-tail or two-tail test based on the research question provided.
- Write out the null and alternative hypotheses.
- Compute the test statistic and make a decision regarding the null hypothesis using α=0.05.
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