A research team conducted a survey to estimate the proportion of households in a certain region that own at least two cars. They reported an estimate of 42% with a margin of error of 4% at a 95% confidence level. Which of the following statements is the least likely to be true?
The actual proportion of households owning at least two cars in the region is 40%.
The actual proportion of households owning at least two cars in the region is 45%.
The actual proportion of households owning at least two cars in the region is 47%.
If the survey were repeated many times, about 95% of the confidence intervals constructed would contain the true proportion of households owning at least two cars.
