Answer Happy

Young children need calcium in their diet to support the growth
of their bones. The Institute
of Medicine provides guidelines for how much calcium should be
consumed by people of
different ages.27 One study examined whether or not a sample of
children consumed an
adequate amount of calcium based on these guidelines. Because there
are different guidelines
for children aged 5 to 10 years and those aged 11 to 13 years, the
children were classified
into these two age groups. Each student’s calcium intake was
classified as meeting or not
meeting the guideline. There were 2029 children in the study. Here
are the data:28
Use both manual calculation and R (R code and output required) to
do the following questions.

A) Find a 95% confidence interval of the percentage of
meeting requirements for each of
the two age groups and explain what the confidence interval tells
us.

B) Use 5% significance level to test the claim that the proportion
of meeting
requirements for age group 11-13 is 50%. Interpret your
result.


C) Construct a 95% confidence interval for the difference of
proportion meeting
requirements between the two age groups and interpret the
result.

D) Use a 5% significance level to test the whether there is a
difference in proportion
meeting requirements between the two age groups and interpret the
result.

E) Use chi-square test to test whether the distribution of meeting
requirements are
homogeneous in the age groups. Give your final conclusion.