Education and Child Development
Many families that must find care for their children have turned to an au pair. An au pair usually provides more than just child care, for example, help with meals, house cleaning, and even participation in children's activities. Some become an extended family member. According to Aupair World, the majority of au pairs are from Europe. However, approximately 8% are from North America.33 A random sample of au pairs in the United States and Canada was asked for their home country. The resulting data are given in the table below.
|
Sample size
|
Number from North America (x)
|
Country
|
|
450
|
41
|
United States
|
|
506
|
51
|
Canada
|
a. Find a 95% confidence interval for the true proportion of au pairs in the United States that come from North America.
b. Find a 95% confidence interval for the true proportion of au pairs in Canada that come from North America.
c. Is there any evidence to suggest that the two true proportions are different? Justify your answer.