Discussion:
A human society claims that less than 35% of U.S. households own a dog. In a random sample of 400 U.S. households, 156 say they own a dog.
1 Describe the population of interest and calculate the numerical value of the statistic p Ì? that that we will use to estimate the population proportion p.
2 Construct a 95% confidence interval for the proportion of U.S. households with a dog.
3 Construct a 99% confidence interval for the proportion of U.S. households with a dog.
4 Describe the relationship between the confidence level and the size of the confidence interval. Explain why this relationship holds.