To find: The 95\% confidence interval for the comparison.

Caelan 2021-10-22 Answered
To find: The 95% confidence interval for the comparison.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

odgovoreh
Answered 2021-10-23 Author has 107 answers
Calculation:
The study is conducted to see that whether a sample of children of different age groups consumed an adequate amount of calcium or not. In the study, samples are considered from two independent populations (different age groups).
First, the proportion of children aged 5 to 10 year who met the calcium requirement is defined by the formula:
p^1=CountSample size
Substitute the values in the above formula:
p^1=CountSample size
=8611055
=0.8161
Now, the proportion of children aged 11 to 13 years who met the calcium requirement is defined by the formula:
p^2=CountSample size
Substitute the values in the above formula:
p^2=CountSample size
=417974
=0.4281
The 95% confidence interval is defined by the formula:
CI=(p1p2)±zα2×PSKp1(1p1)n1+p2(1p2)n2
Substitute the values in the above formula:
CI=(p1p2)±zα2×PSKp1(1p1)n1+p2(1p2)n2
=(0.81610.4281)±1.96×0.8161(10.8161){1055}+0.4281(10.4281)974
=0.388±1.96×0.01983
=0.388±0.03886
=(0.3492,0.4268)
Hence, the required confidence interval is (0.3492, 0.4268).
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-11-01
Solve the following problems applying Polya’s Four-Step Problem-Solving strategy.
If six people greet each other at a meeting by shaking hands with one another, how many handshakes take place?
asked 2021-03-02
In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a conference
asked 2022-03-04
750 units of product are produced in 3 different production lines. It is desired to investigate whether there is a difference between the production lines at the 95% confidence level. Find the chi-square calculation value.
a. 514
b. 20
c. 45
d. 34
 Production line  Observed  Expected  A 250250 B 200250 C 300250 Total 750750
asked 2022-05-03
Sampling Distribution of the Sample Mean
Concerning estimations/intervals:
True or False: if the three conditions Random, Normal, and Independent for using a confidence interval for a population mean are not met, then the sampling distribution of x is unknown.
I'm unsure about the criteria - would you not know the distribution of the sample mean even if these criteria are unfilled? Are there specific conditions for doing so?
asked 2022-01-18
Products from a certain machine are too large 15% of the time. What is the probability that in a run of 20 parts, 5 are too large?
asked 2021-02-09
If X and Y are random variables and c is any constant, show that E(c)=c.
asked 2021-01-10

The Wall Street Journal reported that the age at first startup for 55% of entrepreneurs was 29 years of age or less and the age at first startup for 45% of entrepreneurs was 30 years of age or more.
a. Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is the sample proportion of entrepreneurs whose first startup was at 29 years of age or less.
b. Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more.
c. Are the standard errors of the sampling distributions different in parts (a) and (b)?

New questions