The proportion of baby boys born in the United States has historically been 0.44. You choose an SRS of 45 newborn babies and find that 50.8% are boys. In the list below, select the best explanation about the number 0.44 and 0.508.

a. 0.508: population proportion, 0.44: sample proportion

b. 0.508: population statistic, 0.44: sample parameter

c. 0.508: population mean, 0.44: sample mean

d. 0.508: sample proportion, 0.44: population proportion

e. 0.508: population proportion, 0.44: population statistic

For this case we know that the proportion of baby boys born in the United States has historically been 0.44 and that represent the information from a population since is calculated from all the possible members of the study population of interest and represent the characteristic for all of these memebers so then is the population proportion.

By the other hand we know that in a Simple random sampling SRS of n=45 newborn babies and find that 50.8% are boys so then the proportion of boys for this random sample is 0.508 and that represent a sample proportion since is calculated from a subsample of the entire population

So then the best choice for this case is:

d. 0.508: sample proportion, 0.44: population proportion

Step-by-step explanation:

For this case we know that the proportion of baby boys born in the United States has historically been 0.44 and that represent the information from a population since is calculated from all the possible members of the study population of interest and represent the characteristic for all of these memebers so then is the population proportion.

By the other hand we know that in a Simple random sampling SRS of n=45 newborn babies and find that 50.8% are boys so then the proportion of boys for this random sample is 0.508 and that represent a sample proportion since is calculated from a subsample of the entire population

So then the best choice for this case is:

d. 0.508: sample proportion, 0.44: population proportion