Solution Found!
In a simple random sample of 70 automobiles registered in
Chapter 5, Problem 1E(choose chapter or problem)
In a simple random sample of 70 automobiles registered in a certain state, 28 of them were found to have emission levels that exceed a state standard.
a. What proportion of the automobiles in the sample had emission levels that exceed the standard?
b. Find a 95% confidence interval for the proportion of automobiles in the state whose emission levels exceed the standard.
c. Find a 98% confidence interval for the proportion of automobiles whose emission levels exceed the standard.
d. How many automobiles must be sampled to specify the proportion that exceed the standard to within \(\pm\)0.10 with 95% confidence?
e. How many automobiles must be sampled to specify the proportion that exceed the standard to within \(\pm\)0.10 with 98% confidence?
Questions & Answers
QUESTION:
In a simple random sample of 70 automobiles registered in a certain state, 28 of them were found to have emission levels that exceed a state standard.
a. What proportion of the automobiles in the sample had emission levels that exceed the standard?
b. Find a 95% confidence interval for the proportion of automobiles in the state whose emission levels exceed the standard.
c. Find a 98% confidence interval for the proportion of automobiles whose emission levels exceed the standard.
d. How many automobiles must be sampled to specify the proportion that exceed the standard to within \(\pm\)0.10 with 95% confidence?
e. How many automobiles must be sampled to specify the proportion that exceed the standard to within \(\pm\)0.10 with 98% confidence?
ANSWER:Step 1 of 5
a. The proportion of automobiles in the samples had emission levels that exceeded the standard.
It is given that,
Total number of automobiles registered in a certain state = 70.
Number of automobiles that exceed the standard = 28.