A heating oil company claims that one-fifth of the homes in a large city are heated by oil. Do we have reason to doubt this claim if, in a random sample 1000 homes in this city, it is found that 136 homes are heated by oil? Use a 0.01 level of significance.
Added by Marcos R.
Step 1
We set up the null hypothesis (H0) and the alternative hypothesis (H1) as follows: - H0: p = 0.20 (The proportion of homes heated by oil is 20%.) - H1: p ≠0.20 (The proportion of homes heated by oil is not 20%.) Show more…
Show all steps
Close
Your feedback will help us improve your experience
Hast Aggarwal and 100 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A fuel oil company claims that one-fifth of the homes in a certain city are heated by oil. Do we have reason to believe that fewer than $1 / 5$ are heated by oil if, in a random sample of 1000 homes in this city, it is found that 136 are heated by oil? Use a P-value in your conclusion.
One- and Two-Sample Tests of Hypotheses
Two Samples: Tests on Two Proportions
A fuel oil company claims that one-fifth of the homes in a certain city are heated by oil. Do we have reason to believe that fewer than one-fifth are heated by oil? In a random sample of 1000 homes in this city, 136 are heated by oil. Please show all steps of the classical approach clearly using α = 0.05.
Madhur L.
In a random sample of 1000 homes in a certain city, it is found that 228 are heated by oil. Find $99 \%$ confidence intervals for the proportion of homes in this city that are heated by oil using both methods presented on page 317 .
One- and Two-Sample Estimation Problems
Two Samples: Estimating the Difference between Two Proportions
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD