Does secondhand smoke increase the risk of a low weight birth? A baby is "low birth weight" if it weighs less than 5.5 pounds at birth. According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birth weight. Researchers randomly select 1200 babies whose mothers had extensive exposure to secondhand smoke during pregnancy. 10.4% of the sample is categorized as low birth weight. Which of the following are the appropriate null and alternative hypotheses for this research question?
a. H 0: p = 0.078
b. H a: p ≠ 0.078
c. H0: p = 0.078
d. Ha: p > 0.078
e. H0: p = 0.104
f. Ha: p ≠ 0.104
g. H0: μ = 0.078
h. Ha: μ > 0.078

The researchers want know if the proportion of low weight births for women exposed to secondhand smoke during their pregnancies is greater than 0.078.

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codiepienagoya codiepienagoya · Answer 2 · 2021-11-17T21:05:07+01:00

The baby's birth total weight he or she was at the time of birth. This term "low birth weight" refers to the baby weighing less than 5.5 pounds in weight of birth. More than 8.8 pounds is considered massive baby weight.

A baby with a low birth weight can be born too small, too soon (premature), or both.
These babies are at risk of developing significant health issues.
Assume that p is the percent of all babies born in the U.S. who are classified as "low birth weight".
Therefore, the scientists want to discover is if the proportion of low-birth-weight babies born to mothers who were subject to secondhand throughout their pregnancies is more than 0.078.

Therefore, the final answer is:

[tex]\bold{\text{Null hypothesis}\ H_0: p = 0.078}\\\\\bold{\text{Alternative hypothesis }\ H_a: p > 0.078}[/tex]

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