Solution Found!
A random sample of size n = 225 yielded = .46.a. Is the
Chapter 6, Problem 43E(choose chapter or problem)
Problem 43E
A random sample of size n = 225 yielded = .46.
a. Is the sample size large enough to use the methods of this section to construct a confidence interval for p? Explain.
b. Construct a 95% confidence interval for p.
c. Interpret the 95% confidence interval.
d. Explain what is meant by the phrase “95% confidence interval.”
Questions & Answers
QUESTION:
Problem 43E
A random sample of size n = 225 yielded = .46.
a. Is the sample size large enough to use the methods of this section to construct a confidence interval for p? Explain.
b. Construct a 95% confidence interval for p.
c. Interpret the 95% confidence interval.
d. Explain what is meant by the phrase “95% confidence interval.”
ANSWER:
Solution
Step 1 of 4
a) we have to tell that the sample size is large enough for finding the confidence intervals for p
Given that n=225 and
Here
=1-0.46
=0.54
Now
And
here both the values are more than 15
Hence the sample size is sufficiently large to conclude the normal approximation is reasonable