In a random sample of 266 households in Ontario, it was found that 44% owned at least one dog. Construct a 90% confidence interval to estimate the proportion of households in Ontario that own at least one dog.

1. Which parameter are you estimating?
   Select an answer p p̂ x̄ s μ σ σ² s²
   
   
2. What is the point estimate?
   Select an answer p p̂ x̄ s μ σ σ² s² =
   
   
3. Check all of the requirements that are satisfied.
   
   • random
   • the $\displaystyle \overline{{{x}}}$ distribution is normal since $\displaystyle {n}\ge{30}$
   • the $\displaystyle \overline{{{x}}}$ distribution is normal since the $\displaystyle {x}$ distribution is normal
   • the $\displaystyle \hat{{{p}}}$ distribution is normal since $\displaystyle {n}\hat{{{p}}}\ge{10}$ and $\displaystyle {n}\hat{{{q}}}\ge{10}$
   
   
   
4. Which calculator function should you use?
   Select an answer 1-PropZInt 1-PropZTest ZInterval Z-Test TInterval T-Test invNorm
   
   
5. Find the margin of error. Round your answer to 2 decimal places.
   $\displaystyle {E}=$
   
   
6. Give the confidence interval in interval notation. Use decimals, not percentages.
   Preview Question 6 Part 7 of 8  
   
   
7. Select the correct conclusion.
   
   • We are 90% confident that the proportion of households in the sample that own at least one dog is between the two proportions found.
   • We are 90% confident that the proportion of households in the U.S. that own at least one dog is between the two proportions found.
   • We are 90% confident that the proportion of households in Ontario that own at least one dog is between the two proportions found.
   • We are 90% confident that the number of dogs in Ontario is between the two numbers found.